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5872160 = 25573107
BaseRepresentation
bin10110011001101000100000
3102001100002102
4112121220200
53000402120
6325505532
7100625000
oct26315040
912040072
105872160
113350928
121b722a8
1312a7a68
14acc000
157aed75
hex599a20

5872160 has 96 divisors (see below), whose sum is σ = 16329600. Its totient is φ = 1994496.

The previous prime is 5872151. The next prime is 5872177. The reversal of 5872160 is 612785.

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, 54827 + ... + 54933.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 25872160 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 5872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

5872160 is an abundant number, since it is smaller than the sum of its proper divisors (10457440).

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

5872160 is a wasteful number, since it uses less digits than its factorization.

5872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 5872160 is about 2423.2540106229. The cubic root of 5872160 is about 180.4122239559.

The spelling of 5872160 in words is "five million, eight hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 107 112 140 160 196 214 224 245 280 343 392 428 490 535 560 686 749 784 856 980 1070 1120 1372 1498 1568 1712 1715 1960 2140 2744 2996 3424 3430 3745 3920 4280 5243 5488 5992 6860 7490 7840 8560 10486 10976 11984 13720 14980 17120 20972 23968 26215 27440 29960 36701 41944 52430 54880 59920 73402 83888 104860 119840 146804 167776 183505 209720 293608 367010 419440 587216 734020 838880 1174432 1468040 2936080 5872160