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127987872 = 2534333079
BaseRepresentation
bin1111010000011…
…11000010100000
322220211110100120
413220033002200
5230231102442
620411120240
73112610325
oct750170240
9286743316
10127987872
1166278201
1236a43080
132069298c
1412dd8b4c
15b3824ec
hex7a0f0a0

127987872 has 48 divisors (see below), whose sum is σ = 336853440. Its totient is φ = 42550272.

The previous prime is 127987861. The next prime is 127987897. The reversal of 127987872 is 278789721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40029 + ... + 43107.

It is an arithmetic number, because the mean of its divisors is an integer number (7017780).

Almost surely, 2127987872 is an apocalyptic number.

127987872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127987872 is an abundant number, since it is smaller than the sum of its proper divisors (208865568).

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

127987872 is a wasteful number, since it uses less digits than its factorization.

127987872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3517 counting only the distinct ones).

The product of its digits is 790272, while the sum is 51.

The square root of 127987872 is about 11313.1724993478. The cubic root of 127987872 is about 503.9525024526.

The spelling of 127987872 in words is "one hundred twenty-seven million, nine hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 433 866 1299 1732 2598 3079 3464 5196 6158 6928 9237 10392 12316 13856 18474 20784 24632 36948 41568 49264 73896 98528 147792 295584 1333207 2666414 3999621 5332828 7999242 10665656 15998484 21331312 31996968 42662624 63993936 127987872