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103728126 = 2343409983
BaseRepresentation
bin1100010111011…
…00001111111110
321020011221020110
412023230033332
5203023300001
614143130450
72366450235
oct613541776
9236157213
10103728126
1153608527
122a8a3a26
131864a6b8
14dac1b1c
15918e3d6
hex62ec3fe

103728126 has 32 divisors (see below), whose sum is σ = 213016320. Its totient is φ = 33655104.

The previous prime is 103728113. The next prime is 103728133. The reversal of 103728126 is 621827301.

It is a junction number, because it is equal to n+sod(n) for n = 103728093 and 103728102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105031 + ... + 106013.

It is an arithmetic number, because the mean of its divisors is an integer number (6656760).

Almost surely, 2103728126 is an apocalyptic number.

103728126 is an abundant number, since it is smaller than the sum of its proper divisors (109288194).

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

103728126 is a wasteful number, since it uses less digits than its factorization.

103728126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 103728126 is about 10184.7005847006. The cubic root of 103728126 is about 469.8567935514.

The spelling of 103728126 in words is "one hundred three million, seven hundred twenty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 43 86 129 258 409 818 983 1227 1966 2454 2949 5898 17587 35174 42269 52761 84538 105522 126807 253614 402047 804094 1206141 2412282 17288021 34576042 51864063 103728126