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127880 = 23523139
BaseRepresentation
bin11111001110001000
320111102022
4133032020
513043010
62424012
71041554
oct371610
9214368
10127880
1188095
1262008
134628c
1434864
1527d55
hex1f388

127880 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 48576.

The previous prime is 127877. The next prime is 127913. The reversal of 127880 is 88721.

127880 = T91 + T92 + ... + T114.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2127880 is an apocalyptic number.

127880 is a gapful number since it is divisible by the number (10) 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 127880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

127880 is an abundant number, since it is smaller than the sum of its proper divisors (174520).

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

127880 is a wasteful number, since it uses less digits than its factorization.

127880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 127880 is about 357.6031319773. The cubic root of 127880 is about 50.3810880585.

The spelling of 127880 in words is "one hundred twenty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 139 184 230 278 460 556 695 920 1112 1390 2780 3197 5560 6394 12788 15985 25576 31970 63940 127880