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4670231040 = 2933567567
BaseRepresentation
bin1000101100101111…
…00001001000000000
3110001110212022121000
410112113201020000
534031034343130
62051231132000
7223506210636
oct42627411000
913043768530
104670231040
111a87250782
12aa4074000
1359573a027
1432437d356
151c5017260
hex1165e1200

4670231040 has 160 divisors (see below), whose sum is σ = 16589295360. Its totient is φ = 1245376512.

The previous prime is 4670231039. The next prime is 4670231077. The reversal of 4670231040 is 401320764.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×46702310402 = 43622115933958963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4670230995 and 4670231013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35337 + ... + 102903.

It is an arithmetic number, because the mean of its divisors is an integer number (103683096).

Almost surely, 24670231040 is an apocalyptic number.

4670231040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4670231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294647680).

4670231040 is an abundant number, since it is smaller than the sum of its proper divisors (11919064320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4670231040 is an equidigital number, since it uses as much as digits as its factorization.

4670231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67599 (or 67577 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4670231040 is about 68339.0886681993. The cubic root of 4670231040 is about 1671.5246620815.

The spelling of 4670231040 in words is "four billion, six hundred seventy million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 67567 69120 135134 202701 270268 337835 405402 540536 608103 675670 810804 1013505 1081072 1216206 1351340 1621608 1824309 2027010 2162144 2432412 2702680 3040515 3243216 3648618 4054020 4324288 4864824 5405360 6081030 6486432 7297236 8108040 8648576 9121545 9729648 10810720 12162060 12972864 14594472 16216080 17297152 18243090 19459296 21621440 24324120 25945728 29188944 32432160 34594304 36486180 38918592 43242880 48648240 51891456 58377888 64864320 72972360 77837184 86485760 97296480 103782912 116755776 129728640 145944720 155674368 172971520 194592960 233511552 259457280 291889440 311348736 389185920 467023104 518914560 583778880 778371840 934046208 1167557760 1556743680 2335115520 4670231040