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128000800 = 2552160001
BaseRepresentation
bin1111010000100…
…10001100100000
322220212010002101
413220102030200
5230232011200
620411300144
73112663114
oct750221440
9286763071
10128000800
1166286994
1236a4a654
1320698825
1412ddd744
15b38626a
hex7a12320

128000800 has 36 divisors (see below), whose sum is σ = 312483906. Its totient is φ = 51200000.

The previous prime is 128000749. The next prime is 128000813. The reversal of 128000800 is 8000821.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 125350416 + 2650384 = 11196^2 + 1628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79201 + ... + 80800.

Almost surely, 2128000800 is an apocalyptic number.

128000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128000800 is an abundant number, since it is smaller than the sum of its proper divisors (184483106).

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

128000800 is a wasteful number, since it uses less digits than its factorization.

128000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160021 (or 160008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 128000800 is about 11313.7438542686. The cubic root of 128000800 is about 503.9694698900.

It can be divided in two parts, 128000 and 800, that multiplied together give a 5-th power (102400000 = 405).

The spelling of 128000800 in words is "one hundred twenty-eight million, eight hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 160001 320002 640004 800005 1280008 1600010 2560016 3200020 4000025 5120032 6400040 8000050 12800080 16000100 25600160 32000200 64000400 128000800