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128656720 = 2451608209
BaseRepresentation
bin1111010101100…
…10010101010000
322222002102211201
413222302111100
5230414003340
620433320544
73121364323
oct752622520
9288072751
10128656720
1166694775
1237106154
132086824a
14131307ba
15b46579a
hex7ab2550

128656720 has 20 divisors (see below), whose sum is σ = 299127060. Its totient is φ = 51462656.

The previous prime is 128656711. The next prime is 128656751. The reversal of 128656720 is 27656821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72046144 + 56610576 = 8488^2 + 7524^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×1286567203 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128656720.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 804025 + ... + 804184.

It is an arithmetic number, because the mean of its divisors is an integer number (14956353).

Almost surely, 2128656720 is an apocalyptic number.

128656720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128656720 is an abundant number, since it is smaller than the sum of its proper divisors (170470340).

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

128656720 is a wasteful number, since it uses less digits than its factorization.

128656720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608222 (or 1608216 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 128656720 is about 11342.6945652257. The cubic root of 128656720 is about 504.8288411235.

The spelling of 128656720 in words is "one hundred twenty-eight million, six hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1608209 3216418 6432836 8041045 12865672 16082090 25731344 32164180 64328360 128656720