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23264460 = 22325307421
BaseRepresentation
bin101100010111…
…1110011001100
31121202221211200
41120233303030
521423430320
62150345500
7401513262
oct130576314
947687750
1023264460
111214aa2a
12795b290
134a8726b
143138432
152098290
hex162fccc

23264460 has 72 divisors (see below), whose sum is σ = 70966896. Its totient is φ = 6168960.

The previous prime is 23264447. The next prime is 23264471. The reversal of 23264460 is 6446232.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55050 + ... + 55470.

Almost surely, 223264460 is an apocalyptic number.

23264460 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 23264460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35483448).

23264460 is an abundant number, since it is smaller than the sum of its proper divisors (47702436).

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

23264460 is a wasteful number, since it uses less digits than its factorization.

23264460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 23264460 is about 4823.3245795820. The cubic root of 23264460 is about 285.4725309751.

It can be divided in two parts, 2326 and 4460, that added together give a triangular number (6786 = T116).

The spelling of 23264460 in words is "twenty-three million, two hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 421 614 842 921 1228 1263 1535 1684 1842 2105 2526 2763 3070 3684 3789 4210 4605 5052 5526 6140 6315 7578 8420 9210 11052 12630 13815 15156 18420 18945 25260 27630 37890 55260 75780 129247 258494 387741 516988 646235 775482 1163223 1292470 1550964 1938705 2326446 2584940 3877410 4652892 5816115 7754820 11632230 23264460