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12157768 = 2371072029
BaseRepresentation
bin101110011000…
…001101001000
3211212200022201
4232120031020
511103022033
61112325544
7205224250
oct56301510
924780281
1012157768
116954347
1240a38b4
132698a5c
141886960
15110247d
hexb98348

12157768 has 32 divisors (see below), whose sum is σ = 26308800. Its totient is φ = 5159232.

The previous prime is 12157763. The next prime is 12157781. The reversal of 12157768 is 86775121.

It is a super-2 number, since 2×121577682 = 295622645483648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12157763) 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, 4978 + ... + 7006.

It is an arithmetic number, because the mean of its divisors is an integer number (822150).

Almost surely, 212157768 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 12157768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154400).

12157768 is an abundant number, since it is smaller than the sum of its proper divisors (14151032).

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

12157768 is a wasteful number, since it uses less digits than its factorization.

12157768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2145 counting only the distinct ones).

The product of its digits is 23520, while the sum is 37.

The square root of 12157768 is about 3486.7991051966. The cubic root of 12157768 is about 229.9418126277.

The spelling of 12157768 in words is "twelve million, one hundred fifty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 856 1498 2029 2996 4058 5992 8116 14203 16232 28406 56812 113624 217103 434206 868412 1519721 1736824 3039442 6078884 12157768