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128936200 = 23523371913
BaseRepresentation
bin1111010111101…
…10100100001000
322222121122012211
413223312210020
5231001424300
620443314504
73123640201
oct753664410
9288548184
10128936200
1166865748
123721ba34
1320935513
14131a45a8
15b4bd4ba
hex7af6908

128936200 has 48 divisors (see below), whose sum is σ = 300823380. Its totient is φ = 51394560.

The previous prime is 128936189. The next prime is 128936219. The reversal of 128936200 is 2639821.

It can be written as a sum of positive squares in 6 ways, for example, as 57668836 + 71267364 = 7594^2 + 8442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66444 + ... + 68356.

Almost surely, 2128936200 is an apocalyptic number.

128936200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128936200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150411690).

128936200 is an abundant number, since it is smaller than the sum of its proper divisors (171887180).

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

128936200 is a wasteful number, since it uses less digits than its factorization.

128936200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 128936200 is about 11355.0077058538. The cubic root of 128936200 is about 505.1941220173.

The spelling of 128936200 in words is "one hundred twenty-eight million, nine hundred thirty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 337 674 1348 1685 1913 2696 3370 3826 6740 7652 8425 9565 13480 15304 16850 19130 33700 38260 47825 67400 76520 95650 191300 382600 644681 1289362 2578724 3223405 5157448 6446810 12893620 16117025 25787240 32234050 64468100 128936200