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23413572 = 223272131021
BaseRepresentation
bin101100101010…
…0001101000100
31122001112101100
41121110031010
521443213242
62153500100
7403004100
oct131241504
948045340
1023413572
1112241a66
127a11630
134b0a0b0
143176900
1520c754c
hex1654344

23413572 has 108 divisors (see below), whose sum is σ = 74215596. Its totient is φ = 6168960.

The previous prime is 23413571. The next prime is 23413597. The reversal of 23413572 is 27531432.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 15256836 = 2856^2 + 3906^2 .

It is not an unprimeable number, because it can be changed into a prime (23413571) 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, 22422 + ... + 23442.

Almost surely, 223413572 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 23413572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37107798).

23413572 is an abundant number, since it is smaller than the sum of its proper divisors (50802024).

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

23413572 is a wasteful number, since it uses less digits than its factorization.

23413572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1046 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 23413572 is about 4838.7572784755. The cubic root of 23413572 is about 286.0811382419.

It can be divided in two parts, 23 and 413572, that added together give a triangular number (413595 = T909).

The spelling of 23413572 in words is "twenty-three million, four hundred thirteen thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1021 1092 1274 1638 1764 1911 2042 2548 3063 3276 3822 4084 5733 6126 7147 7644 9189 11466 12252 13273 14294 18378 21441 22932 26546 28588 36756 39819 42882 50029 53092 64323 79638 85764 92911 100058 119457 128646 150087 159276 185822 200116 238914 257292 278733 300174 371644 450261 477828 557466 600348 650377 836199 900522 1114932 1300754 1672398 1801044 1951131 2601508 3344796 3902262 5853393 7804524 11706786 23413572