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56238720 = 2735171723
BaseRepresentation
bin1101011010001…
…0001010000000
310220211020000120
43112202022000
5103344114340
65325220240
71252010166
oct326421200
9126736016
1056238720
1129821a8a
1216a01680
13b860c65
14767d236
154e0d4d0
hex35a2280

56238720 has 128 divisors (see below), whose sum is σ = 189915840. Its totient is φ = 14106624.

The previous prime is 56238697. The next prime is 56238731. The reversal of 56238720 is 2783265.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31779 + ... + 33501.

Almost surely, 256238720 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 56238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94957920).

56238720 is an abundant number, since it is smaller than the sum of its proper divisors (133677120).

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

56238720 is a wasteful number, since it uses less digits than its factorization.

56238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 56238720 is about 7499.2479622960. The cubic root of 56238720 is about 383.1291027204.

The spelling of 56238720 in words is "fifty-six million, two hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1723 1920 2040 2176 2720 3264 3446 4080 5169 5440 6528 6892 8160 8615 10338 10880 13784 16320 17230 20676 25845 27568 29291 32640 34460 41352 51690 55136 58582 68920 82704 87873 103380 110272 117164 137840 146455 165408 175746 206760 220544 234328 275680 292910 330816 351492 413520 439365 468656 551360 585820 661632 702984 827040 878730 937312 1102720 1171640 1405968 1654080 1757460 1874624 2343280 2811936 3308160 3514920 3749248 4686560 5623872 7029840 9373120 11247744 14059680 18746240 28119360 56238720