Search a number
-
+
12912970 = 257219273
BaseRepresentation
bin110001010000…
…100101001010
3220022001021011
4301100211022
511301203340
61140434134
7214521100
oct61204512
926261234
1012912970
11731a784
1243a894a
1328a1715
141a01c70
1512010ea
hexc5094a

12912970 has 72 divisors (see below), whose sum is σ = 28927044. Its totient is φ = 4136832.

The previous prime is 12912967. The next prime is 12912971. The reversal of 12912970 is 7921921.

It can be written as a sum of positive squares in 2 ways, for example, as 12895281 + 17689 = 3591^2 + 133^2 .

It is not an unprimeable number, because it can be changed into a prime (12912971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 176854 + ... + 176926.

Almost surely, 212912970 is an apocalyptic number.

12912970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12912970 is an abundant number, since it is smaller than the sum of its proper divisors (16014074).

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

12912970 is a wasteful number, since it uses less digits than its factorization.

12912970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 12912970 is about 3593.4621189043. The cubic root of 12912970 is about 234.6075841093.

The spelling of 12912970 in words is "twelve million, nine hundred twelve thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 73 95 98 133 146 190 245 266 361 365 490 511 665 722 730 931 1022 1330 1387 1805 1862 2527 2555 2774 3577 3610 4655 5054 5110 6935 7154 9310 9709 12635 13870 17689 17885 19418 25270 26353 35378 35770 48545 52706 67963 88445 97090 131765 135926 176890 184471 263530 339815 368942 679630 922355 1291297 1844710 2582594 6456485 12912970