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127998728 = 231113127881
BaseRepresentation
bin1111010000100…
…01101100001000
322220212000020122
413220101230020
5230231424403
620411242412
73112654064
oct750215410
9286760218
10127998728
1166285380
1236a49408
13206978c0
1412ddcaa4
15b385838
hex7a11b08

127998728 has 64 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 53222400.

The previous prime is 127998727. The next prime is 127998737. The reversal of 127998728 is 827899721.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 127998728.

It is not an unprimeable number, because it can be changed into a prime (127998727) 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, 144848 + ... + 145728.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2127998728 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 127998728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

127998728 is an abundant number, since it is smaller than the sum of its proper divisors (156499192).

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

127998728 is a wasteful number, since it uses less digits than its factorization.

127998728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1034 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 53.

The square root of 127998728 is about 11313.6522838560. The cubic root of 127998728 is about 503.9667505570.

The spelling of 127998728 in words is "one hundred twenty-seven million, nine hundred ninety-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 127 143 254 286 508 572 881 1016 1144 1397 1651 1762 2794 3302 3524 5588 6604 7048 9691 11176 11453 13208 18161 19382 22906 36322 38764 45812 72644 77528 91624 111887 125983 145288 223774 251966 447548 503932 895096 1007864 1230757 1454531 2461514 2909062 4923028 5818124 9846056 11636248 15999841 31999682 63999364 127998728