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53307920 = 24517192063
BaseRepresentation
bin1100101101011…
…0101000010000
310201022022201102
43023112220100
5102121323140
65142323532
71215052451
oct313265020
9121268642
1053307920
1128100036
1215a295a8
13b075c63
147119128
154a2ee15
hex32d6a10

53307920 has 80 divisors (see below), whose sum is σ = 138205440. Its totient is φ = 19003392.

The previous prime is 53307911. The next prime is 53307923. The reversal of 53307920 is 2970335.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (53307923) 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, 24809 + ... + 26871.

It is an arithmetic number, because the mean of its divisors is an integer number (1727568).

Almost surely, 253307920 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 53307920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69102720).

53307920 is an abundant number, since it is smaller than the sum of its proper divisors (84897520).

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

53307920 is a wasteful number, since it uses less digits than its factorization.

53307920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 53307920 is about 7301.2272940924. The cubic root of 53307920 is about 376.3546148980.

The spelling of 53307920 in words is "fifty-three million, three hundred seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2063 2584 3230 4126 5168 6460 8252 10315 12920 16504 20630 25840 33008 35071 39197 41260 70142 78394 82520 140284 156788 165040 175355 195985 280568 313576 350710 391970 561136 627152 666349 701420 783940 1332698 1402840 1567880 2665396 2805680 3135760 3331745 5330792 6663490 10661584 13326980 26653960 53307920