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127889028 = 2232171012069
BaseRepresentation
bin1111001111101…
…10111010000100
322220122102202200
413213312322010
5230214422103
620405034500
73112016211
oct747667204
9286572680
10127889028
116620aa13
12369b5a30
13206599a7
1412db0b08
15b3630a3
hex79f6e84

127889028 has 72 divisors (see below), whose sum is σ = 345847320. Its totient is φ = 39705600.

The previous prime is 127889017. The next prime is 127889033. The reversal of 127889028 is 820988721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46131264 + 81757764 = 6792^2 + 9042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60778 + ... + 62846.

It is an arithmetic number, because the mean of its divisors is an integer number (4803435).

Almost surely, 2127889028 is an apocalyptic number.

127889028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127889028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172923660).

127889028 is an abundant number, since it is smaller than the sum of its proper divisors (217958292).

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

127889028 is a wasteful number, since it uses less digits than its factorization.

127889028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 127889028 is about 11308.8031196940. The cubic root of 127889028 is about 503.8227362251.

The spelling of 127889028 in words is "one hundred twenty-seven million, eight hundred eighty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 303 306 404 606 612 909 1212 1717 1818 2069 3434 3636 4138 5151 6207 6868 8276 10302 12414 15453 18621 20604 24828 30906 35173 37242 61812 70346 74484 105519 140692 208969 211038 316557 417938 422076 626907 633114 835876 1253814 1266228 1880721 2507628 3552473 3761442 7104946 7522884 10657419 14209892 21314838 31972257 42629676 63944514 127889028