[go: up one dir, main page]

Search a number
-
+
12656928 = 253314253
BaseRepresentation
bin110000010010…
…000100100000
3212211001001010
4300102010200
511220010203
61131140520
7212403444
oct60220440
925731033
1012656928
117165379
1242a4740
13281200b
141976824
1511a0303
hexc12120

12656928 has 48 divisors (see below), whose sum is σ = 34304256. Its totient is φ = 4081920.

The previous prime is 12656927. The next prime is 12656933. The reversal of 12656928 is 82965621.

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

It is not an unprimeable number, because it can be changed into a prime (12656927) 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, 850 + ... + 5102.

It is an arithmetic number, because the mean of its divisors is an integer number (714672).

Almost surely, 212656928 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 12656928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17152128).

12656928 is an abundant number, since it is smaller than the sum of its proper divisors (21647328).

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

12656928 is a wasteful number, since it uses less digits than its factorization.

12656928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4289 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 12656928 is about 3557.6576563801. The cubic root of 12656928 is about 233.0465992621.

The spelling of 12656928 in words is "twelve million, six hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4253 8506 12759 17012 25518 34024 51036 68048 102072 131843 136096 204144 263686 395529 408288 527372 791058 1054744 1582116 2109488 3164232 4218976 6328464 12656928