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128140964 = 22726317401
BaseRepresentation
bin1111010001101…
…00011010100100
322221010020100122
413220310122210
5230301002324
620414301112
73114115550
oct750643244
9287106318
10128140964
1166372226
1236ab7798
1320717573
1413038860
15b3b2a5e
hex7a346a4

128140964 has 24 divisors (see below), whose sum is σ = 257271168. Its totient is φ = 54705600.

The previous prime is 128140939. The next prime is 128140973. The reversal of 128140964 is 469041821.

It is a happy number.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1337 + ... + 16064.

It is an arithmetic number, because the mean of its divisors is an integer number (10719632).

Almost surely, 2128140964 is an apocalyptic number.

128140964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

128140964 is an abundant number, since it is smaller than the sum of its proper divisors (129130204).

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

128140964 is a wasteful number, since it uses less digits than its factorization.

128140964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17675 (or 17673 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 128140964 is about 11319.9365722605. The cubic root of 128140964 is about 504.1533557429.

The spelling of 128140964 in words is "one hundred twenty-eight million, one hundred forty thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 263 526 1052 1841 3682 7364 17401 34802 69604 121807 243614 487228 4576463 9152926 18305852 32035241 64070482 128140964