Search a number
-
+
12157456 = 2431127193
BaseRepresentation
bin101110011000…
…001000010000
3211212122220011
4232120020100
511103014311
61112324304
7205223323
oct56301020
924778804
1012157456
116954093
1240a3694
13269887c
1418867ba
151102321
hexb98210

12157456 has 40 divisors (see below), whose sum is σ = 24633344. Its totient is φ = 5806080.

The previous prime is 12157429. The next prime is 12157459. The reversal of 12157456 is 65475121.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12157459) 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, 62896 + ... + 63088.

Almost surely, 212157456 is an apocalyptic number.

12157456 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 12157456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12316672).

12157456 is an abundant number, since it is smaller than the sum of its proper divisors (12475888).

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

12157456 is a wasteful number, since it uses less digits than its factorization.

12157456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 12157456 is about 3486.7543647352. The cubic root of 12157456 is about 229.9398456422.

The spelling of 12157456 in words is "twelve million, one hundred fifty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 124 127 193 248 254 386 496 508 772 1016 1544 2032 3088 3937 5983 7874 11966 15748 23932 24511 31496 47864 49022 62992 95728 98044 196088 392176 759841 1519682 3039364 6078728 12157456