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128976960 = 26357171129
BaseRepresentation
bin1111011000000…
…00100001000000
322222200201010110
413230000201000
5231004230320
620444231320
73124200060
oct754004100
9288621113
10128976960
1166893332
123723b540
132094ac38
14131b53a0
15b4ca5e0
hex7b00840

128976960 has 224 divisors, whose sum is σ = 495970560. Its totient is φ = 27721728.

The previous prime is 128976941. The next prime is 128976973. The reversal of 128976960 is 69679821.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113676 + ... + 114804.

Almost surely, 2128976960 is an apocalyptic number.

128976960 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 128976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247985280).

128976960 is an abundant number, since it is smaller than the sum of its proper divisors (366993600).

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

128976960 is a wasteful number, since it uses less digits than its factorization.

128976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 128976960 is about 11356.8023668637. The cubic root of 128976960 is about 505.2473512964.

The spelling of 128976960 in words is "one hundred twenty-eight million, nine hundred seventy-six thousand, nine hundred sixty".