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12397272 = 2331931877
BaseRepresentation
bin101111010010…
…101011011000
3212022211212020
4233102223120
511133203042
61121414440
7210242436
oct57225330
925284766
1012397272
116aa8288
12419a420
132750a84
141909d56
15114d3ec
hexbd2ad8

12397272 has 64 divisors (see below), whose sum is σ = 33715200. Its totient is φ = 3784320.

The previous prime is 12397261. The next prime is 12397277. The reversal of 12397272 is 27279321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12397277) by changing a digit.

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, 13698 + ... + 14574.

It is an arithmetic number, because the mean of its divisors is an integer number (526800).

Almost surely, 212397272 is an apocalyptic number.

12397272 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 12397272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16857600).

12397272 is an abundant number, since it is smaller than the sum of its proper divisors (21317928).

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

12397272 is a wasteful number, since it uses less digits than its factorization.

12397272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 932 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 12397272 is about 3520.9760010543. The cubic root of 12397272 is about 231.4419305546.

The spelling of 12397272 in words is "twelve million, three hundred ninety-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 877 1178 1754 1767 2356 2631 3508 3534 4712 5262 7016 7068 10524 14136 16663 21048 27187 33326 49989 54374 66652 81561 99978 108748 133304 163122 199956 217496 326244 399912 516553 652488 1033106 1549659 2066212 3099318 4132424 6198636 12397272