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23520672 = 253373889
BaseRepresentation
bin101100110111…
…0010110100000
31122020222022000
41121232112200
522010130142
62200044000
7403631250
oct131562640
948228260
1023520672
111230547a
127a63600
134b46a76
1431a3960
1520e914c
hex166e5a0

23520672 has 96 divisors (see below), whose sum is σ = 78422400. Its totient is φ = 6718464.

The previous prime is 23520671. The next prime is 23520709. The reversal of 23520672 is 27602532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×235206722 = 1106444022663168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (23520671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4104 + ... + 7992.

It is an arithmetic number, because the mean of its divisors is an integer number (816900).

Almost surely, 223520672 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 23520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39211200).

23520672 is an abundant number, since it is smaller than the sum of its proper divisors (54901728).

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

23520672 is a wasteful number, since it uses less digits than its factorization.

23520672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3901 counting only the distinct ones).

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

The square root of 23520672 is about 4849.8115427303. The cubic root of 23520672 is about 286.5166789446.

The spelling of 23520672 in words is "twenty-three million, five hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 3889 6048 7778 11667 15556 23334 27223 31112 35001 46668 54446 62224 70002 81669 93336 105003 108892 124448 140004 163338 186672 210006 217784 245007 280008 326676 373344 420012 435568 490014 560016 653352 735021 840024 871136 980028 1120032 1306704 1470042 1680048 1960056 2613408 2940084 3360096 3920112 5880168 7840224 11760336 23520672