Search a number
-
+
12924736 = 261121669
BaseRepresentation
bin110001010011…
…011101000000
3220022122101221
4301103131000
511302042421
61141004424
7214600306
oct61233500
926278357
1012924736
117328600
1243b3714
1328a6b96
141a06276
151204841
hexc53740

12924736 has 42 divisors (see below), whose sum is σ = 28207970. Its totient is φ = 5871360.

The previous prime is 12924727. The next prime is 12924761. The reversal of 12924736 is 63742921.

It can be written as a sum of positive squares in only one way, i.e., 11182336 + 1742400 = 3344^2 + 1320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6910 + ... + 8578.

Almost surely, 212924736 is an apocalyptic number.

12924736 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 12924736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103985).

12924736 is an abundant number, since it is smaller than the sum of its proper divisors (15283234).

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

12924736 is a wasteful number, since it uses less digits than its factorization.

12924736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1682 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 12924736 is about 3595.0988859835. The cubic root of 12924736 is about 234.6788188151.

The spelling of 12924736 in words is "twelve million, nine hundred twenty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1669 1936 3338 3872 6676 7744 13352 18359 26704 36718 53408 73436 106816 146872 201949 293744 403898 587488 807796 1174976 1615592 3231184 6462368 12924736