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53364160 = 2651967131
BaseRepresentation
bin1100101110010…
…0010111000000
310201102011212101
43023210113000
5102130123120
65143440144
71215405433
oct313442700
9121364771
1053364160
1128139313
1215a56054
13b095735
14713181a
154a4190a
hex32e45c0

53364160 has 112 divisors (see below), whose sum is σ = 136794240. Its totient is φ = 19768320.

The previous prime is 53364149. The next prime is 53364169. The reversal of 53364160 is 6146335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53364169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 407295 + ... + 407425.

Almost surely, 253364160 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 53364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68397120).

53364160 is an abundant number, since it is smaller than the sum of its proper divisors (83430080).

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

53364160 is a wasteful number, since it uses less digits than its factorization.

53364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 53364160 is about 7305.0776861030. The cubic root of 53364160 is about 376.4869200942.

The spelling of 53364160 in words is "fifty-three million, three hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 67 76 80 95 131 134 152 160 190 262 268 304 320 335 380 524 536 608 655 670 760 1048 1072 1216 1273 1310 1340 1520 2096 2144 2489 2546 2620 2680 3040 4192 4288 4978 5092 5240 5360 6080 6365 8384 8777 9956 10184 10480 10720 12445 12730 17554 19912 20368 20960 21440 24890 25460 35108 39824 40736 41920 43885 49780 50920 70216 79648 81472 87770 99560 101840 140432 159296 166763 175540 199120 203680 280864 333526 351080 398240 407360 561728 667052 702160 796480 833815 1334104 1404320 1667630 2668208 2808640 3335260 5336416 6670520 10672832 13341040 26682080 53364160