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128957640 = 23357153521
BaseRepresentation
bin1111010111110…
…11110011001000
322222122201121220
413223323303020
5231003121030
620444002040
73124056540
oct753736310
9288581556
10128957640
116687a869
1237230320
13209421c6
14131ac320
15b4c4a10
hex7afbcc8

128957640 has 64 divisors (see below), whose sum is σ = 442143360. Its totient is φ = 29475840.

The previous prime is 128957623. The next prime is 128957641. The reversal of 128957640 is 46759821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 128957592 and 128957601.

It is not an unprimeable number, because it can be changed into a prime (128957641) by changing a digit.

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, 75921 + ... + 77600.

It is an arithmetic number, because the mean of its divisors is an integer number (6908490).

Almost surely, 2128957640 is an apocalyptic number.

128957640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128957640 is an abundant number, since it is smaller than the sum of its proper divisors (313185720).

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

128957640 is a wasteful number, since it uses less digits than its factorization.

128957640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153542 (or 153538 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 128957640 is about 11355.9517434691. The cubic root of 128957640 is about 505.2221223298. Note that the first 3 decimals are identical.

The spelling of 128957640 in words is "one hundred twenty-eight million, nine hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 153521 307042 460563 614084 767605 921126 1074647 1228168 1535210 1842252 2149294 2302815 3070420 3223941 3684504 4298588 4605630 5373235 6140840 6447882 8597176 9211260 10746470 12895764 16119705 18422520 21492940 25791528 32239410 42985880 64478820 128957640