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23239040 = 275113301
BaseRepresentation
bin101100010100…
…1100110000000
31121201122222012
41120221212000
521422122130
62150032052
7401346206
oct130514600
947648865
1023239040
1112132920
127948628
134a78816
14312d076
152090995
hex1629980

23239040 has 64 divisors (see below), whose sum is σ = 60624720. Its totient is φ = 8448000.

The previous prime is 23239031. The next prime is 23239043. The reversal of 23239040 is 4093232.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 23238997 and 23239015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23239043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5390 + ... + 8690.

Almost surely, 223239040 is an apocalyptic number.

23239040 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 23239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30312360).

23239040 is an abundant number, since it is smaller than the sum of its proper divisors (37385680).

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

23239040 is a wasteful number, since it uses less digits than its factorization.

23239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 23239040 is about 4820.6887474717. The cubic root of 23239040 is about 285.3685188702.

The spelling of 23239040 in words is "twenty-three million, two hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3301 3520 6602 7040 13204 16505 26408 33010 36311 52816 66020 72622 105632 132040 145244 181555 211264 264080 290488 363110 422528 528160 580976 726220 1056320 1161952 1452440 2112640 2323904 2904880 4647808 5809760 11619520 23239040