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128980566 = 233111316703
BaseRepresentation
bin1111011000000…
…01011001010110
322222200220002000
413230001121112
5231004334231
620444300130
73124213431
oct754013126
9288626060
10128980566
1166896010
1237241646
132094c780
14131b6818
15b4cb6e6
hex7b01656

128980566 has 64 divisors (see below), whose sum is σ = 336752640. Its totient is φ = 36076320.

The previous prime is 128980559. The next prime is 128980567. The reversal of 128980566 is 665089821.

128980566 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 80 + 566 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128980567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 630 + ... + 16073.

It is an arithmetic number, because the mean of its divisors is an integer number (5261760).

Almost surely, 2128980566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128980566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168376320).

128980566 is an abundant number, since it is smaller than the sum of its proper divisors (207772074).

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

128980566 is a wasteful number, since it uses less digits than its factorization.

128980566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16738 (or 16732 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 128980566 is about 11356.9611252306. The cubic root of 128980566 is about 505.2520599022.

The spelling of 128980566 in words is "one hundred twenty-eight million, nine hundred eighty thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3861 7722 16703 33406 50109 100218 150327 183733 217139 300654 367466 434278 450981 551199 651417 901962 1102398 1302834 1653597 1954251 2388529 3307194 3908502 4777058 4960791 5862753 7165587 9921582 11725506 14331174 21496761 42993522 64490283 128980566