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127428336 = 2433742139
BaseRepresentation
bin1111001100001…
…10011011110000
322212210000211000
413212012123300
5230110201321
620351122000
73105060120
oct746063360
9285700730
10127428336
1165a25882
1236813300
13205280a9
1412cd0c80
15b2c1826
hex79866f0

127428336 has 80 divisors (see below), whose sum is σ = 418028800. Its totient is φ = 36407232.

The previous prime is 127428319. The next prime is 127428341. The reversal of 127428336 is 633824721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 127428336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18046 + ... + 24093.

It is an arithmetic number, because the mean of its divisors is an integer number (5225360).

Almost surely, 2127428336 is an apocalyptic number.

127428336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127428336 is an abundant number, since it is smaller than the sum of its proper divisors (290600464).

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

127428336 is a wasteful number, since it uses less digits than its factorization.

127428336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42163 (or 42151 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 127428336 is about 11288.4160093434. The cubic root of 127428336 is about 503.2170382706.

The spelling of 127428336 in words is "one hundred twenty-seven million, four hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 42139 84278 126417 168556 252834 294973 337112 379251 505668 589946 674224 758502 884919 1011336 1137753 1179892 1517004 1769838 2022672 2275506 2359784 2654757 3034008 3539676 4551012 4719568 5309514 6068016 7079352 7964271 9102024 10619028 14158704 15928542 18204048 21238056 31857084 42476112 63714168 127428336