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12157296 = 2431032459
BaseRepresentation
bin101110011000…
…000101110000
3211212122200020
4232120011300
511103013141
61112323440
7205223004
oct56300560
924778606
1012157296
116953a58
1240a3580
132698788
141886704
151102266
hexb98170

12157296 has 40 divisors (see below), whose sum is σ = 31724160. Its totient is φ = 4011456.

The previous prime is 12157273. The next prime is 12157303. The reversal of 12157296 is 69275121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3715 + ... + 6173.

It is an arithmetic number, because the mean of its divisors is an integer number (793104).

Almost surely, 212157296 is an apocalyptic number.

12157296 is a gapful number since it is divisible by the number (16) 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 12157296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15862080).

12157296 is an abundant number, since it is smaller than the sum of its proper divisors (19566864).

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

12157296 is a wasteful number, since it uses less digits than its factorization.

12157296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2567 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 12157296 is about 3486.7314206861. The cubic root of 12157296 is about 229.9388369187.

The spelling of 12157296 in words is "twelve million, one hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2459 2472 4918 4944 7377 9836 14754 19672 29508 39344 59016 118032 253277 506554 759831 1013108 1519662 2026216 3039324 4052432 6078648 12157296