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12885796 = 227111723107
BaseRepresentation
bin110001001001…
…111100100100
3220020122222201
4301021330210
511244321141
61140104244
7214345630
oct61117444
926218881
1012885796
117301320
124395084
132892241
1419d5dc0
1511e8031
hexc49f24

12885796 has 96 divisors (see below), whose sum is σ = 31352832. Its totient is φ = 4477440.

The previous prime is 12885793. The next prime is 12885797. The reversal of 12885796 is 69758821.

It is a Harshad number since it is a multiple of its sum of digits (46).

12885796 is a modest number, since divided by 5796 gives 1288 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12885791) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 120375 + ... + 120481.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 212885796 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 12885796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416).

12885796 is an abundant number, since it is smaller than the sum of its proper divisors (18467036).

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

12885796 is a wasteful number, since it uses less digits than its factorization.

12885796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The square root of 12885796 is about 3589.6790942924. The cubic root of 12885796 is about 234.4428994621.

12885796 divided by its sum of digits (46) gives a triangular number (280126 = T748).

The spelling of 12885796 in words is "twelve million, eight hundred eighty-five thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 11 14 17 22 23 28 34 44 46 68 77 92 107 119 154 161 187 214 238 253 308 322 374 391 428 476 506 644 748 749 782 1012 1177 1309 1498 1564 1771 1819 2354 2461 2618 2737 2996 3542 3638 4301 4708 4922 5236 5474 7084 7276 8239 8602 9844 10948 12733 16478 17204 17227 20009 25466 27071 30107 32956 34454 40018 41837 50932 54142 60214 68908 80036 83674 108284 120428 140063 167348 189497 280126 292859 378994 460207 560252 585718 757988 920414 1171436 1840828 3221449 6442898 12885796