Search a number
-
+
12939648 = 273311087
BaseRepresentation
bin110001010111…
…000110000000
3220100101212020
4301113012000
511303032043
61141201440
7214661631
oct61270600
926311766
1012939648
117338827
124400280
1328b08c7
141a0b888
151208e83
hexc57180

12939648 has 64 divisors (see below), whose sum is σ = 35512320. Its totient is φ = 4170240.

The previous prime is 12939637. The next prime is 12939653. The reversal of 12939648 is 84693921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11361 + ... + 12447.

It is an arithmetic number, because the mean of its divisors is an integer number (554880).

Almost surely, 212939648 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 12939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756160).

12939648 is an abundant number, since it is smaller than the sum of its proper divisors (22572672).

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

12939648 is a wasteful number, since it uses less digits than its factorization.

12939648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1123 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 12939648 is about 3597.1722227327. The cubic root of 12939648 is about 234.7690382089.

The spelling of 12939648 in words is "twelve million, nine hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1087 1488 1984 2174 2976 3261 3968 4348 5952 6522 8696 11904 13044 17392 26088 33697 34784 52176 67394 69568 101091 104352 134788 139136 202182 208704 269576 404364 417408 539152 808728 1078304 1617456 2156608 3234912 4313216 6469824 12939648