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128977068 = 223115916561
BaseRepresentation
bin1111011000000…
…00100010101100
322222200201021110
413230000202230
5231004231233
620444232020
73124200303
oct754004254
9288621243
10128977068
1166893420
123723b610
132094acbc
14131b543a
15b4ca663
hex7b008ac

128977068 has 48 divisors (see below), whose sum is σ = 333889920. Its totient is φ = 38419200.

The previous prime is 128977061. The next prime is 128977097. The reversal of 128977068 is 860779821.

It is not an unprimeable number, because it can be changed into a prime (128977061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493 + ... + 16068.

It is an arithmetic number, because the mean of its divisors is an integer number (6956040).

Almost surely, 2128977068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128977068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166944960).

128977068 is an abundant number, since it is smaller than the sum of its proper divisors (204912852).

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

128977068 is a wasteful number, since it uses less digits than its factorization.

128977068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16638 (or 16636 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 128977068 is about 11356.8071217222. The cubic root of 128977068 is about 505.2474923209.

The spelling of 128977068 in words is "one hundred twenty-eight million, nine hundred seventy-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 7788 16561 33122 49683 66244 99366 182171 198732 364342 546513 728684 977099 1093026 1954198 2186052 2931297 3908396 5862594 10748089 11725188 21496178 32244267 42992356 64488534 128977068