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5005170 = 2325192927
BaseRepresentation
bin10011000101111101110010
3100102021210200
4103011331302
52240131140
6255140030
760354222
oct23057562
910367720
105005170
112909505
121814616
131063251
14944082
1568d030
hex4c5f72

5005170 has 48 divisors (see below), whose sum is σ = 13703040. Its totient is φ = 1264032.

The previous prime is 5005159. The next prime is 5005177. The reversal of 5005170 is 715005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247 + ... + 3173.

It is an arithmetic number, because the mean of its divisors is an integer number (285480).

Almost surely, 25005170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851520).

5005170 is an abundant number, since it is smaller than the sum of its proper divisors (8697870).

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

5005170 is a wasteful number, since it uses less digits than its factorization.

5005170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 5005170 is about 2237.2237259604. The cubic root of 5005170 is about 171.0565115366.

The spelling of 5005170 in words is "five million, five thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 2927 5854 8781 14635 17562 26343 29270 43905 52686 55613 87810 111226 131715 166839 263430 278065 333678 500517 556130 834195 1001034 1668390 2502585 5005170