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5960864 = 257132389
BaseRepresentation
bin10110101111010010100000
3102012211202202
4112233102200
53011221424
6331432332
7101444420
oct26572240
912184682
105960864
113401538
121bb56a8
131309250
14b12480
157cb2ae
hex5af4a0

5960864 has 96 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 2230272.

The previous prime is 5960861. The next prime is 5960881. The reversal of 5960864 is 4680695.

It is not an unprimeable number, because it can be changed into a prime (5960861) 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, 66932 + ... + 67020.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 25960864 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 5960864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

5960864 is an abundant number, since it is smaller than the sum of its proper divisors (9280096).

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

5960864 is a wasteful number, since it uses less digits than its factorization.

5960864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 5960864 is about 2441.4880708289. The cubic root of 5960864 is about 181.3161147626.

The spelling of 5960864 in words is "five million, nine hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 89 91 92 104 112 161 178 182 184 208 224 299 322 356 364 368 416 598 623 644 712 728 736 1157 1196 1246 1288 1424 1456 2047 2093 2314 2392 2492 2576 2848 2912 4094 4186 4628 4784 4984 5152 8099 8188 8372 9256 9568 9968 14329 16198 16376 16744 18512 19936 26611 28658 32396 32752 33488 37024 53222 57316 64792 65504 66976 106444 114632 129584 186277 212888 229264 259168 372554 425776 458528 745108 851552 1490216 2980432 5960864