Search a number
-
+
10930624 = 261989101
BaseRepresentation
bin101001101100…
…100111000000
3202120022222221
4221230213000
510244234444
61030140424
7161623465
oct51544700
922508887
1010930624
116196381
1237b1714
132359333
14164766c
15e5da84
hexa6c9c0

10930624 has 56 divisors (see below), whose sum is σ = 23317200. Its totient is φ = 5068800.

The previous prime is 10930607. The next prime is 10930627. The reversal of 10930624 is 42603901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10930627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108174 + ... + 108274.

Almost surely, 210930624 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 10930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658600).

10930624 is an abundant number, since it is smaller than the sum of its proper divisors (12386576).

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

10930624 is a wasteful number, since it uses less digits than its factorization.

10930624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 10930624 is about 3306.1494219106. The cubic root of 10930624 is about 221.9294746624.

The spelling of 10930624 in words is "ten million, nine hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 89 101 152 178 202 304 356 404 608 712 808 1216 1424 1616 1691 1919 2848 3232 3382 3838 5696 6464 6764 7676 8989 13528 15352 17978 27056 30704 35956 54112 61408 71912 108224 122816 143824 170791 287648 341582 575296 683164 1366328 2732656 5465312 10930624