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23075424 = 2532194217
BaseRepresentation
bin101100000000…
…1101001100000
31121102100112100
41120001221200
521401403144
62142330400
7400065201
oct130015140
947370470
1023075424
11120309a9
127889a00
134a1c1c8
1430c95a8
15205c269
hex1601a60

23075424 has 72 divisors (see below), whose sum is σ = 69090840. Its totient is φ = 7285248.

The previous prime is 23075419. The next prime is 23075441. The reversal of 23075424 is 42457032.

23075424 is a `hidden beast` number, since 230 + 7 + 5 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3364 + ... + 7580.

It is an arithmetic number, because the mean of its divisors is an integer number (959595).

Almost surely, 223075424 is an apocalyptic number.

23075424 is a gapful number since it is divisible by the number (24) 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 23075424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34545420).

23075424 is an abundant number, since it is smaller than the sum of its proper divisors (46015416).

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

23075424 is a wasteful number, since it uses less digits than its factorization.

23075424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 23075424 is about 4803.6885827456. The cubic root of 23075424 is about 284.6972223092.

The spelling of 23075424 in words is "twenty-three million, seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 4217 5472 8434 12651 16868 25302 33736 37953 50604 67472 75906 80123 101208 134944 151812 160246 202416 240369 303624 320492 404832 480738 607248 640984 721107 961476 1214496 1281968 1442214 1922952 2563936 2884428 3845904 5768856 7691808 11537712 23075424