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5399136 = 25342083
BaseRepresentation
bin10100100110001001100000
3101011022020000
4110212021200
52340233021
6311420000
763614631
oct24461140
911138200
105399136
1130584a6
121984600
131170672
14a07888
15719b26
hex526260

5399136 has 60 divisors (see below), whose sum is σ = 15886332. Its totient is φ = 1798848.

The previous prime is 5399131. The next prime is 5399161. The reversal of 5399136 is 6319935.

5399136 is a `hidden beast` number, since 539 + 91 + 36 = 666.

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

It is a d-powerful number, because it can be written as 57 + 3 + 94 + 96 + 1 + 314 + 62 .

It is a self number, because there is not a number n which added to its sum of digits gives 5399136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5399131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1551 + ... + 3633.

Almost surely, 25399136 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 5399136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943166).

5399136 is an abundant number, since it is smaller than the sum of its proper divisors (10487196).

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

5399136 is a wasteful number, since it uses less digits than its factorization.

5399136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2088 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 5399136 is about 2323.6040970871. The cubic root of 5399136 is about 175.4317069369.

The spelling of 5399136 in words is "five million, three hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2083 2592 4166 6249 8332 12498 16664 18747 24996 33328 37494 49992 56241 66656 74988 99984 112482 149976 168723 199968 224964 299952 337446 449928 599904 674892 899856 1349784 1799712 2699568 5399136