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104257153 = 72111314879
BaseRepresentation
bin1100011011011…
…01011010000001
321021011210221001
412031231122001
5203142212103
614202332001
72404112500
oct615553201
9237153831
10104257153
1153939a40
122aaba001
13187a4430
14dbbc837
15924601d
hex636d681

104257153 has 24 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 74985120.

The previous prime is 104257151. The next prime is 104257163. The reversal of 104257153 is 351752401.

It is a happy number.

It is not a de Polignac number, because 104257153 - 21 = 104257151 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104257151) 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, 433 + ... + 14446.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2104257153 is an apocalyptic number.

104257153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104257153 is a deficient number, since it is larger than the sum of its proper divisors (38233727).

104257153 is a wasteful number, since it uses less digits than its factorization.

104257153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14917 (or 14910 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 104257153 is about 10210.6392062397. The cubic root of 104257153 is about 470.6542164496.

It can be divided in two parts, 10425 and 7153, that added together give a triangular number (17578 = T187).

The spelling of 104257153 in words is "one hundred four million, two hundred fifty-seven thousand, one hundred fifty-three".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 14879 104153 163669 193427 729071 1145683 1353989 2127697 8019781 9477923 14893879 104257153