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153075813 = 31131714633
BaseRepresentation
bin10010001111111…
…00000001100101
3101200001001112120
421013330001211
5303141411223
623104540153
73536060112
oct1107740145
9350031476
10153075813
1179453140
1243321659
1325937c07
1416489909
15d68abe3
hex91fc065

153075813 has 16 divisors (see below), whose sum is σ = 223373376. Its totient is φ = 92474240.

The previous prime is 153075809. The next prime is 153075823. The reversal of 153075813 is 318570351.

It is a cyclic number.

It is not a de Polignac number, because 153075813 - 22 = 153075809 is a prime.

It is a super-2 number, since 2×1530758132 = 46864409051221938, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153075823) 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 15 ways as a sum of consecutive naturals, for example, 3145 + ... + 17777.

It is an arithmetic number, because the mean of its divisors is an integer number (13960836).

Almost surely, 2153075813 is an apocalyptic number.

It is an amenable number.

153075813 is a deficient number, since it is larger than the sum of its proper divisors (70297563).

153075813 is a wasteful number, since it uses less digits than its factorization.

153075813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14964.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 153075813 is about 12372.3810562074. The cubic root of 153075813 is about 534.9364503664.

The spelling of 153075813 in words is "one hundred fifty-three million, seventy-five thousand, eight hundred thirteen".

Divisors: 1 3 11 33 317 951 3487 10461 14633 43899 160963 482889 4638661 13915983 51025271 153075813