Search a number
-
+
12910072 = 2371771191
BaseRepresentation
bin110001001111…
…110111111000
3220021220021211
4301033313320
511301110242
61140412504
7214506460
oct61176770
926256254
1012910072
11731858a
1243a7134
1328a02c6
141a00ba0
151200317
hexc4fdf8

12910072 has 64 divisors (see below), whose sum is σ = 29859840. Its totient is φ = 5107200.

The previous prime is 12910067. The next prime is 12910087. The reversal of 12910072 is 27001921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67497 + ... + 67687.

It is an arithmetic number, because the mean of its divisors is an integer number (466560).

Almost surely, 212910072 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 12910072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929920).

12910072 is an abundant number, since it is smaller than the sum of its proper divisors (16949768).

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

12910072 is a wasteful number, since it uses less digits than its factorization.

12910072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 12910072 is about 3593.0588639765. The cubic root of 12910072 is about 234.5900321533.

Adding to 12910072 its reverse (27001921), we get a palindrome (39911993).

It can be divided in two parts, 129 and 10072, that added together give a palindrome (10201).

The spelling of 12910072 in words is "twelve million, nine hundred ten thousand, seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 71 119 136 142 191 238 284 382 476 497 568 764 952 994 1207 1337 1528 1988 2414 2674 3247 3976 4828 5348 6494 8449 9656 10696 12988 13561 16898 22729 25976 27122 33796 45458 54244 67592 90916 94927 108488 181832 189854 230537 379708 461074 759416 922148 1613759 1844296 3227518 6455036 12910072