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56053920 = 2535132691
BaseRepresentation
bin1101010111010…
…1000010100000
310220110211112010
43111311002200
5103322211140
65321232520
71250310336
oct325650240
9126424463
1056053920
112970615a
1216932740
13b7c7b00
147631b56
154dc3880
hex35750a0

56053920 has 144 divisors (see below), whose sum is σ = 191473632. Its totient is φ = 13777920.

The previous prime is 56053919. The next prime is 56053931. The reversal of 56053920 is 2935065.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80775 + ... + 81465.

It is an arithmetic number, because the mean of its divisors is an integer number (1329678).

Almost surely, 256053920 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 56053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95736816).

56053920 is an abundant number, since it is smaller than the sum of its proper divisors (135419712).

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

56053920 is a wasteful number, since it uses less digits than its factorization.

56053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 56053920 is about 7486.9165882892. The cubic root of 56053920 is about 382.7089891287.

Adding to 56053920 its reverse (2935065), we get a palindrome (58988985).

The spelling of 56053920 in words is "fifty-six million, fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 169 195 208 240 260 312 338 390 416 480 507 520 624 676 691 780 845 1014 1040 1248 1352 1382 1560 1690 2028 2073 2080 2535 2704 2764 3120 3380 3455 4056 4146 5070 5408 5528 6240 6760 6910 8112 8292 8983 10140 10365 11056 13520 13820 16224 16584 17966 20280 20730 22112 26949 27040 27640 33168 35932 40560 41460 44915 53898 55280 66336 71864 81120 82920 89830 107796 110560 116779 134745 143728 165840 179660 215592 233558 269490 287456 331680 350337 359320 431184 467116 538980 583895 700674 718640 862368 934232 1077960 1167790 1401348 1437280 1751685 1868464 2155920 2335580 2802696 3503370 3736928 4311840 4671160 5605392 7006740 9342320 11210784 14013480 18684640 28026960 56053920