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12157068 = 22371159223
BaseRepresentation
bin101110011000…
…000010001100
3211212122100210
4232120002030
511103011233
61112322420
7205222230
oct56300214
924778323
1012157068
116953870
1240a3410
132698641
1418865c0
151102163
hexb9808c

12157068 has 96 divisors (see below), whose sum is σ = 36126720. Its totient is φ = 3090240.

The previous prime is 12157063. The next prime is 12157069. The reversal of 12157068 is 86075121.

It is not an unprimeable number, because it can be changed into a prime (12157063) 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, 54405 + ... + 54627.

It is an arithmetic number, because the mean of its divisors is an integer number (376320).

Almost surely, 212157068 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 12157068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063360).

12157068 is an abundant number, since it is smaller than the sum of its proper divisors (23969652).

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

12157068 is a wasteful number, since it uses less digits than its factorization.

12157068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 12157068 is about 3486.6987251554. The cubic root of 12157068 is about 229.9373994723.

It can be divided in two parts, 12 and 157068, that added together give a triangular number (157080 = T560).

The spelling of 12157068 in words is "twelve million, one hundred fifty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 59 66 77 84 118 132 154 177 223 231 236 308 354 413 446 462 649 669 708 826 892 924 1239 1298 1338 1561 1652 1947 2453 2478 2596 2676 3122 3894 4543 4683 4906 4956 6244 7359 7788 9086 9366 9812 13157 13629 14718 17171 18172 18732 26314 27258 29436 34342 39471 51513 52628 54516 68684 78942 92099 103026 144727 157884 184198 206052 276297 289454 368396 434181 552594 578908 868362 1013089 1105188 1736724 2026178 3039267 4052356 6078534 12157068