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127380968 = 231113111347
BaseRepresentation
bin1111001011110…
…10110111101000
322212200121211122
413211322313220
5230102142333
620350114412
73104502041
oct745726750
9285617748
10127380968
11659a3230
12367aba08
132050c670
1412cbb8c8
15b2b2798
hex797ade8

127380968 has 32 divisors (see below), whose sum is σ = 280596960. Its totient is φ = 53446080.

The previous prime is 127380961. The next prime is 127380977. The reversal of 127380968 is 869083721.

It is a super-2 number, since 2×1273809682 = 32451822017234048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (127380961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54530 + ... + 56817.

It is an arithmetic number, because the mean of its divisors is an integer number (8768655).

Almost surely, 2127380968 is an apocalyptic number.

It is an amenable number.

127380968 is an abundant number, since it is smaller than the sum of its proper divisors (153215992).

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

127380968 is a wasteful number, since it uses less digits than its factorization.

127380968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111377 (or 111373 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 127380968 is about 11286.3177343188. The cubic root of 127380968 is about 503.1546781511.

The spelling of 127380968 in words is "one hundred twenty-seven million, three hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 111347 222694 445388 890776 1224817 1447511 2449634 2895022 4899268 5790044 9798536 11580088 15922621 31845242 63690484 127380968