Search a number
-
+
12920576 = 28411231
BaseRepresentation
bin110001010010…
…011100000000
3220022102200212
4301102130000
511301424301
61140533252
7214552214
oct61223400
926272625
1012920576
117325469
1243b1228
1328a5016
141a04944
1512034bb
hexc52700

12920576 has 36 divisors (see below), whose sum is σ = 26441184. Its totient is φ = 6297600.

The previous prime is 12920563. The next prime is 12920581. The reversal of 12920576 is 67502921.

12920576 = T181 + T182 + ... + T436.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9881 + ... + 11111.

Almost surely, 212920576 is an apocalyptic number.

12920576 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 12920576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13220592).

12920576 is an abundant number, since it is smaller than the sum of its proper divisors (13520608).

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

12920576 is an equidigital number, since it uses as much as digits as its factorization.

12920576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 12920576 is about 3594.5202739726. The cubic root of 12920576 is about 234.6536379360.

The spelling of 12920576 in words is "twelve million, nine hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1231 1312 2462 2624 4924 5248 9848 10496 19696 39392 50471 78784 100942 157568 201884 315136 403768 807536 1615072 3230144 6460288 12920576