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5168880 = 243352393
BaseRepresentation
bin10011101101111011110000
3100201121101000
4103231323300
52310401010
6302442000
761635423
oct23557360
910647330
105168880
112a10502
121893300
1310bc912
149879ba
156c17c0
hex4edef0

5168880 has 80 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 1377792.

The previous prime is 5168879. The next prime is 5168887. The reversal of 5168880 is 888615.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5168887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964 + ... + 3356.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 25168880 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 5168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

5168880 is an abundant number, since it is smaller than the sum of its proper divisors (12642480).

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

5168880 is a wasteful number, since it uses less digits than its factorization.

5168880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 5168880 is about 2273.5170991220. The cubic root of 5168880 is about 172.9015221329.

The spelling of 5168880 in words is "five million, one hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2393 4786 7179 9572 11965 14358 19144 21537 23930 28716 35895 38288 43074 47860 57432 64611 71790 86148 95720 107685 114864 129222 143580 172296 191440 215370 258444 287160 323055 344592 430740 516888 574320 646110 861480 1033776 1292220 1722960 2584440 5168880