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1004650680 = 2335112233413
BaseRepresentation
bin111011111000011…
…100000010111000
32121000102112122110
4323320130002320
54024142310210
6243405052320
733616250505
oct7370340270
92530375573
101004650680
1147610aa20
122405570a0
131301a7c77
14975dc4ac
155d2ee420
hex3be1c0b8

1004650680 has 128 divisors (see below), whose sum is σ = 3303659520. Its totient is φ = 242388480.

The previous prime is 1004650657. The next prime is 1004650687. The reversal of 1004650680 is 860564001.

1004650680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004650687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292654 + ... + 296066.

It is an arithmetic number, because the mean of its divisors is an integer number (25809840).

Almost surely, 21004650680 is an apocalyptic number.

1004650680 is a gapful number since it is divisible by the number (10) 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 1004650680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651829760).

1004650680 is an abundant number, since it is smaller than the sum of its proper divisors (2299008840).

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

1004650680 is a wasteful number, since it uses less digits than its factorization.

1004650680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1004650680 is about 31696.2250118212. The cubic root of 1004650680 is about 1001.5478296539.

It can be divided in two parts, 10046 and 50680, that added together give a triangular number (60726 = T348).

The spelling of 1004650680 in words is "one billion, four million, six hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 223 264 330 440 446 660 669 892 1115 1320 1338 1784 2230 2453 2676 3345 3413 4460 4906 5352 6690 6826 7359 8920 9812 10239 12265 13380 13652 14718 17065 19624 20478 24530 26760 27304 29436 34130 36795 37543 40956 49060 51195 58872 68260 73590 75086 81912 98120 102390 112629 136520 147180 150172 187715 204780 225258 294360 300344 375430 409560 450516 563145 750860 761099 901032 1126290 1501720 1522198 2252580 2283297 3044396 3805495 4505160 4566594 6088792 7610990 8372089 9133188 11416485 15221980 16744178 18266376 22832970 25116267 30443960 33488356 41860445 45665940 50232534 66976712 83720890 91331880 100465068 125581335 167441780 200930136 251162670 334883560 502325340 1004650680