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960053920 = 25571750423
BaseRepresentation
bin111001001110010…
…100001010100000
32110220111210101121
4321032110022200
53431233211140
6235133142024
732535216010
oct7116241240
92426453347
10960053920
11452a1a7a1
1222962a914
13123b92057
149170dc40
155944064a
hex393942a0

960053920 has 96 divisors (see below), whose sum is σ = 2744679168. Its totient is φ = 309792768.

The previous prime is 960053893. The next prime is 960053981. The reversal of 960053920 is 29350069.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 6172 + ... + 44251.

It is an arithmetic number, because the mean of its divisors is an integer number (28590408).

Almost surely, 2960053920 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 960053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372339584).

960053920 is an abundant number, since it is smaller than the sum of its proper divisors (1784625248).

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

960053920 is a wasteful number, since it uses less digits than its factorization.

960053920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50462 (or 50454 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 960053920 is about 30984.7368877000. The cubic root of 960053920 is about 986.5032985746.

The spelling of 960053920 in words is "nine hundred sixty million, fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 9520 19040 50423 100846 201692 252115 352961 403384 504230 705922 806768 857191 1008460 1411844 1613536 1714382 1764805 2016920 2823688 3428764 3529610 4033840 4285955 5647376 6000337 6857528 7059220 8067680 8571910 11294752 12000674 13715056 14118440 17143820 24001348 27430112 28236880 30001685 34287640 48002696 56473760 60003370 68575280 96005392 120006740 137150560 192010784 240013480 480026960 960053920