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127680380 = 225192771213
BaseRepresentation
bin1111001110000…
…11111101111100
322220020211112222
413213003331330
5230141233010
620400344512
73110160002
oct747037574
9286224488
10127680380
1166088183
1236915138
13205b5a29
1412d58a72
15b321355
hex79c3f7c

127680380 has 48 divisors (see below), whose sum is σ = 283493280. Its totient is φ = 48169728.

The previous prime is 127680367. The next prime is 127680389. The reversal of 127680380 is 83086721.

It is a self number, because there is not a number n which added to its sum of digits gives 127680380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127680389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104654 + ... + 105866.

It is an arithmetic number, because the mean of its divisors is an integer number (5906110).

Almost surely, 2127680380 is an apocalyptic number.

127680380 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 127680380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141746640).

127680380 is an abundant number, since it is smaller than the sum of its proper divisors (155812900).

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

127680380 is a wasteful number, since it uses less digits than its factorization.

127680380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 127680380 is about 11299.5743282656. The cubic root of 127680380 is about 503.5485953609.

The spelling of 127680380 in words is "one hundred twenty-seven million, six hundred eighty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 277 380 554 1108 1213 1385 2426 2770 4852 5263 5540 6065 10526 12130 21052 23047 24260 26315 46094 52630 92188 105260 115235 230470 336001 460940 672002 1344004 1680005 3360010 6384019 6720020 12768038 25536076 31920095 63840190 127680380