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127039016 = 231319239269
BaseRepresentation
bin1111001001001…
…11011000101000
322212001020202202
413210213120220
5230010222031
620334515332
73101546066
oct744473050
9285036682
10127039016
116578a325
1236665b48
132041cb20
1412c2d036
15b2462cb
hex7927628

127039016 has 64 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 55109376.

The previous prime is 127039009. The next prime is 127039021. The reversal of 127039016 is 610930721.

It is a super-2 number, since 2×1270390162 = 32277823172496512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127039016.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 472130 + ... + 472398.

It is an arithmetic number, because the mean of its divisors is an integer number (4252500).

Almost surely, 2127039016 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 127039016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

127039016 is an abundant number, since it is smaller than the sum of its proper divisors (145120984).

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

127039016 is a wasteful number, since it uses less digits than its factorization.

127039016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 127039016 is about 11271.1585917331. The cubic root of 127039016 is about 502.7040379951.

Adding to 127039016 its reverse (610930721), we get a palindrome (737969737).

The spelling of 127039016 in words is "one hundred twenty-seven million, thirty-nine thousand, sixteen".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 239 247 269 478 494 538 956 988 1076 1912 1976 2152 3107 3497 4541 5111 6214 6994 9082 10222 12428 13988 18164 20444 24856 27976 36328 40888 59033 64291 66443 118066 128582 132886 236132 257164 265772 472264 514328 531544 835783 1221529 1671566 2443058 3343132 4886116 6686264 9772232 15879877 31759754 63519508 127039016