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128140900 = 22521775377
BaseRepresentation
bin1111010001101…
…00011001100100
322221010020021021
413220310121210
5230301002100
620414300524
73114115426
oct750643144
9287106237
10128140900
1166372178
1236ab7744
1320717524
1413038816
15b3b2a1a
hex7a34664

128140900 has 36 divisors (see below), whose sum is σ = 294426468. Its totient is φ = 48240640.

The previous prime is 128140891. The next prime is 128140939. The reversal of 128140900 is 9041821.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7096896 + 121044004 = 2664^2 + 11002^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 35989 + ... + 39388.

It is an arithmetic number, because the mean of its divisors is an integer number (8178513).

Almost surely, 2128140900 is an apocalyptic number.

128140900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128140900 is an abundant number, since it is smaller than the sum of its proper divisors (166285568).

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

128140900 is a wasteful number, since it uses less digits than its factorization.

128140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75408 (or 75401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 128140900 is about 11319.9337453891. The cubic root of 128140900 is about 504.1532718098.

The spelling of 128140900 in words is "one hundred twenty-eight million, one hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 75377 150754 301508 376885 753770 1281409 1507540 1884425 2562818 3768850 5125636 6407045 7537700 12814090 25628180 32035225 64070450 128140900