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127965768 = 23373124571
BaseRepresentation
bin1111010000010…
…01101001001000
322220210100000220
413220021221020
5230224401033
620410430040
73112456020
oct750115110
9286710026
10127965768
1166262637
1236a32320
13206858b8
1412dd0a80
15b37abb3
hex7a09a48

127965768 has 64 divisors (see below), whose sum is σ = 377425920. Its totient is φ = 35380800.

The previous prime is 127965751. The next prime is 127965769. The reversal of 127965768 is 867569721.

It is a self number, because there is not a number n which added to its sum of digits gives 127965768.

It is not an unprimeable number, because it can be changed into a prime (127965769) 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, 7078 + ... + 17493.

It is an arithmetic number, because the mean of its divisors is an integer number (5897280).

Almost surely, 2127965768 is an apocalyptic number.

It is an amenable number.

127965768 is an abundant number, since it is smaller than the sum of its proper divisors (249460152).

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

127965768 is a wasteful number, since it uses less digits than its factorization.

127965768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24618 (or 24614 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 127965768 is about 11312.1955428643. The cubic root of 127965768 is about 503.9234892676.

The spelling of 127965768 in words is "one hundred twenty-seven million, nine hundred sixty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 24571 49142 73713 98284 147426 171997 196568 294852 343994 515991 589704 687988 761701 1031982 1375976 1523402 2063964 2285103 3046804 4127928 4570206 5331907 6093608 9140412 10663814 15995721 18280824 21327628 31991442 42655256 63982884 127965768