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23668032 = 263131941
BaseRepresentation
bin101101001001…
…0010101000000
31122112110102210
41122102111000
522024334112
62203142120
7405114003
oct132222500
948473383
1023668032
11123a6163
127b14940
134b98b6b
14320153a
152127b3c
hex1692540

23668032 has 56 divisors (see below), whose sum is σ = 63166752. Its totient is φ = 7820800.

The previous prime is 23668019. The next prime is 23668067. The reversal of 23668032 is 23086632.

It is a congruent number.

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, 24682 + ... + 25622.

Almost surely, 223668032 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 23668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31583376).

23668032 is an abundant number, since it is smaller than the sum of its proper divisors (39498720).

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

23668032 is a wasteful number, since it uses less digits than its factorization.

23668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 23668032 is about 4864.9801643994. The cubic root of 23668032 is about 287.1137881586.

The spelling of 23668032 in words is "twenty-three million, six hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 941 1048 1572 1882 2096 2823 3144 3764 4192 5646 6288 7528 8384 11292 12576 15056 22584 25152 30112 45168 60224 90336 123271 180672 246542 369813 493084 739626 986168 1479252 1972336 2958504 3944672 5917008 7889344 11834016 23668032