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12374112 = 253157821
BaseRepresentation
bin101111001101…
…000001100000
3212021200002110
4233031001200
511131432422
61121115320
7210115062
oct57150140
925250073
1012374112
116a91943
124188b40
13274337a
141901732
15114660c
hexbcd060

12374112 has 48 divisors (see below), whose sum is σ = 32728752. Its totient is φ = 4093440.

The previous prime is 12374107. The next prime is 12374119. The reversal of 12374112 is 21147321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12374119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14662 + ... + 15482.

It is an arithmetic number, because the mean of its divisors is an integer number (681849).

Almost surely, 212374112 is an apocalyptic number.

12374112 is a gapful number since it is divisible by the number (12) 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 12374112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16364376).

12374112 is an abundant number, since it is smaller than the sum of its proper divisors (20354640).

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

12374112 is a wasteful number, since it uses less digits than its factorization.

With its successor (12374113) it forms an eRAP, since the sums of their prime factors are consecutive (991 and 992).

12374112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 983 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 12374112 is about 3517.6856027792. The cubic root of 12374112 is about 231.2977177400.

It can be divided in two parts, 123741 and 12, that added together give a triangular number (123753 = T497).

The spelling of 12374112 in words is "twelve million, three hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 821 942 1256 1642 1884 2463 2512 3284 3768 4926 5024 6568 7536 9852 13136 15072 19704 26272 39408 78816 128897 257794 386691 515588 773382 1031176 1546764 2062352 3093528 4124704 6187056 12374112