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5135104 = 28131543
BaseRepresentation
bin10011100101101100000000
3100122220001001
4103211230000
52303310404
6302021344
761435102
oct23455400
910586031
105135104
112998097
121877854
1310aa430
14979572
156b67a4
hex4e5b00

5135104 has 36 divisors (see below), whose sum is σ = 11045776. Its totient is φ = 2368512.

The previous prime is 5135093. The next prime is 5135113. The reversal of 5135104 is 4015315.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 5135104 = 363 + 1723 = 933 + 1633.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2557 + ... + 4099.

Almost surely, 25135104 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 5135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522888).

5135104 is an abundant number, since it is smaller than the sum of its proper divisors (5910672).

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

5135104 is a wasteful number, since it uses less digits than its factorization.

5135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 5135104 is about 2266.0767859894. The cubic root of 5135104 is about 172.5240910133.

The spelling of 5135104 in words is "five million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1543 1664 3086 3328 6172 12344 20059 24688 40118 49376 80236 98752 160472 197504 320944 395008 641888 1283776 2567552 5135104