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5158560 = 253511977
BaseRepresentation
bin10011101011011010100000
3100201002012210
4103223122200
52310033220
6302322120
761563351
oct23533240
910632183
105158560
112a03780
121889340
1310b8004
14983d28
156bd6e0
hex4eb6a0

5158560 has 96 divisors (see below), whose sum is σ = 17744832. Its totient is φ = 1249280.

The previous prime is 5158537. The next prime is 5158591. The reversal of 5158560 is 658515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51585602 = 53221482547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 4792 + ... + 5768.

It is an arithmetic number, because the mean of its divisors is an integer number (184842).

Almost surely, 25158560 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 5158560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8872416).

5158560 is an abundant number, since it is smaller than the sum of its proper divisors (12586272).

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

5158560 is a wasteful number, since it uses less digits than its factorization.

5158560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 5158560 is about 2271.2463538771. The cubic root of 5158560 is about 172.7863758120.

The spelling of 5158560 in words is "five million, one hundred fifty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 977 1056 1320 1760 1954 2640 2931 3908 4885 5280 5862 7816 9770 10747 11724 14655 15632 19540 21494 23448 29310 31264 32241 39080 42988 46896 53735 58620 64482 78160 85976 93792 107470 117240 128964 156320 161205 171952 214940 234480 257928 322410 343904 429880 468960 515856 644820 859760 1031712 1289640 1719520 2579280 5158560