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8056368 = 2433171097
BaseRepresentation
bin11110101110111000110000
3120011022021000
4132232320300
54030300433
6444402000
7125322645
oct36567060
916138230
108056368
114602961
122846300
131890ca8
1410d9dcc
15a92113
hex7aee30

8056368 has 80 divisors (see below), whose sum is σ = 24507360. Its totient is φ = 2525184.

The previous prime is 8056357. The next prime is 8056379. The reversal of 8056368 is 8636508.

It is an interprime number because it is at equal distance from previous prime (8056357) and next prime (8056379).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6796 + ... + 7892.

It is an arithmetic number, because the mean of its divisors is an integer number (306342).

Almost surely, 28056368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8056368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253680).

8056368 is an abundant number, since it is smaller than the sum of its proper divisors (16450992).

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

8056368 is a wasteful number, since it uses less digits than its factorization.

8056368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8056368 is about 2838.3741825207. The cubic root of 8056368 is about 200.4686343847.

The spelling of 8056368 in words is "eight million, fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1097 1224 1836 2194 2448 3291 3672 4388 6582 7344 8776 9873 13164 17552 18649 19746 26328 29619 37298 39492 52656 55947 59238 74596 78984 111894 118476 149192 157968 167841 223788 236952 298384 335682 447576 473904 503523 671364 895152 1007046 1342728 2014092 2685456 4028184 8056368