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5015136 = 253717439
BaseRepresentation
bin10011001000011001100000
3100102210110210
4103020121200
52240441021
6255254120
760425250
oct23103140
910383423
105015136
112915a45
12181a340
131067949
14947960
15690e76
hex4c8660

5015136 has 96 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1345536.

The previous prime is 5015123. The next prime is 5015137. The reversal of 5015136 is 6315105.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5015137) 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, 11205 + ... + 11643.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 25015136 is an apocalyptic number.

5015136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5015136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

5015136 is an abundant number, since it is smaller than the sum of its proper divisors (10951584).

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

5015136 is a wasteful number, since it uses less digits than its factorization.

5015136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5015136 is about 2239.4499324611. The cubic root of 5015136 is about 171.1699688203.

It can be divided in two parts, 5015 and 136, that added together give a triangular number (5151 = T101).

The spelling of 5015136 in words is "five million, fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 439 476 544 672 714 816 878 952 1317 1428 1632 1756 1904 2634 2856 3073 3512 3808 5268 5712 6146 7024 7463 9219 10536 11424 12292 14048 14926 18438 21072 22389 24584 29852 36876 42144 44778 49168 52241 59704 73752 89556 98336 104482 119408 147504 156723 179112 208964 238816 295008 313446 358224 417928 626892 716448 835856 1253784 1671712 2507568 5015136