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23087360 = 285171061
BaseRepresentation
bin101100000010…
…0100100000000
31121102221220102
41120010210000
521402243420
62142501532
7400145042
oct130044400
947387812
1023087360
111203996a
1278948a8
134a2477a
1430cda92
152060a75
hex1604900

23087360 has 72 divisors (see below), whose sum is σ = 58609656. Its totient is φ = 8683520.

The previous prime is 23087357. The next prime is 23087381. The reversal of 23087360 is 6378032.

It can be written as a sum of positive squares in 4 ways, for example, as 6310144 + 16777216 = 2512^2 + 4096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21230 + ... + 22290.

It is an arithmetic number, because the mean of its divisors is an integer number (814023).

Almost surely, 223087360 is an apocalyptic number.

23087360 is a gapful number since it is divisible by the number (20) 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 23087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29304828).

23087360 is an abundant number, since it is smaller than the sum of its proper divisors (35522296).

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

23087360 is a wasteful number, since it uses less digits than its factorization.

23087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 23087360 is about 4804.9308007504. The cubic root of 23087360 is about 284.7463013685.

The spelling of 23087360 in words is "twenty-three million, eighty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1061 1088 1280 1360 2122 2176 2720 4244 4352 5305 5440 8488 10610 10880 16976 18037 21220 21760 33952 36074 42440 67904 72148 84880 90185 135808 144296 169760 180370 271616 288592 339520 360740 577184 679040 721480 1154368 1358080 1442960 2308736 2885920 4617472 5771840 11543680 23087360