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4631040 = 2933567
BaseRepresentation
bin10001101010101000000000
322201021121000
4101222220000
52141143130
6243132000
754235401
oct21525000
98637530
104631040
112683407
121674000
13c61b7b
148879a8
15617260
hex46aa00

4631040 has 160 divisors (see below), whose sum is σ = 16695360. Its totient is φ = 1216512.

The previous prime is 4631017. The next prime is 4631093. The reversal of 4631040 is 401364.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69087 + ... + 69153.

It is an arithmetic number, because the mean of its divisors is an integer number (104346).

Almost surely, 24631040 is an apocalyptic number.

4631040 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 4631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347680).

4631040 is an abundant number, since it is smaller than the sum of its proper divisors (12064320).

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

4631040 is an equidigital number, since it uses as much as digits as its factorization.

4631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4631040 is about 2151.9851300601. The cubic root of 4631040 is about 166.6835893928.

The spelling of 4631040 in words is "four million, six 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 67 72 80 90 96 108 120 128 134 135 144 160 180 192 201 216 240 256 268 270 288 320 335 360 384 402 432 480 512 536 540 576 603 640 670 720 768 804 864 960 1005 1072 1080 1152 1206 1280 1340 1440 1536 1608 1728 1809 1920 2010 2144 2160 2304 2412 2560 2680 2880 3015 3216 3456 3618 3840 4020 4288 4320 4608 4824 5360 5760 6030 6432 6912 7236 7680 8040 8576 8640 9045 9648 10720 11520 12060 12864 13824 14472 16080 17152 17280 18090 19296 21440 23040 24120 25728 28944 32160 34304 34560 36180 38592 42880 48240 51456 57888 64320 69120 72360 77184 85760 96480 102912 115776 128640 144720 154368 171520 192960 231552 257280 289440 308736 385920 463104 514560 578880 771840 926208 1157760 1543680 2315520 4631040