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128000616 = 23317313727
BaseRepresentation
bin1111010000100…
…10001001101000
322220212002211120
413220102021220
5230232004431
620411255240
73112662432
oct750221150
9286762746
10128000616
1166286837
1236a4a520
1320698713
1412ddd652
15b386196
hex7a12268

128000616 has 32 divisors (see below), whose sum is σ = 338826240. Its totient is φ = 40156928.

The previous prime is 128000597. The next prime is 128000623. The reversal of 128000616 is 616000821.

It is a super-3 number, since 3×1280006163 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

128000616 is a modest number, since divided by 616 gives 128 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156456 + ... + 157271.

It is an arithmetic number, because the mean of its divisors is an integer number (10588320).

Almost surely, 2128000616 is an apocalyptic number.

It is an amenable number.

128000616 is an abundant number, since it is smaller than the sum of its proper divisors (210825624).

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

128000616 is a wasteful number, since it uses less digits than its factorization.

128000616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313753 (or 313749 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 128000616 is about 11313.7357225631. The cubic root of 128000616 is about 503.9692284060.

The spelling of 128000616 in words is "one hundred twenty-eight million, six hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 313727 627454 941181 1254908 1882362 2509816 3764724 5333359 7529448 10666718 16000077 21333436 32000154 42666872 64000308 128000616