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53397760 = 285133209
BaseRepresentation
bin1100101110110…
…0100100000000
310201110212221211
43023230210000
5102132212020
65144255504
71215605413
oct313544400
9121425854
1053397760
1128161589
1215a71594
13b0a7b10
14713db7a
154a4b85a
hex32ec900

53397760 has 72 divisors (see below), whose sum is σ = 137786040. Its totient is φ = 19709952.

The previous prime is 53397737. The next prime is 53397761. The reversal of 53397760 is 6779335.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 52070656 = 1152^2 + 7216^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (53397761) 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, 15036 + ... + 18244.

It is an arithmetic number, because the mean of its divisors is an integer number (1913695).

Almost surely, 253397760 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 53397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68893020).

53397760 is an abundant number, since it is smaller than the sum of its proper divisors (84388280).

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

53397760 is a wasteful number, since it uses less digits than its factorization.

53397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 40.

The square root of 53397760 is about 7307.3770944163. The cubic root of 53397760 is about 376.5659200977.

The spelling of 53397760 in words is "fifty-three million, three hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3209 3328 4160 6418 8320 12836 16045 16640 25672 32090 41717 51344 64180 83434 102688 128360 166868 205376 208585 256720 333736 410752 417170 513440 667472 821504 834340 1026880 1334944 1668680 2053760 2669888 3337360 4107520 5339776 6674720 10679552 13349440 26698880 53397760