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127713340 = 22511815407
BaseRepresentation
bin1111001110011…
…00000000111100
322220022111202201
413213030000330
5230143311330
620401201244
73110355046
oct747140074
9286274681
10127713340
11660aaa17
1236930224
13205c7a31
1412d66a96
15b32aeca
hex79cc03c

127713340 has 24 divisors (see below), whose sum is σ = 268474752. Its totient is φ = 51032640.

The previous prime is 127713331. The next prime is 127713353. The reversal of 127713340 is 43317721.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 127713299 and 127713308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20917 + ... + 26323.

It is an arithmetic number, because the mean of its divisors is an integer number (11186448).

Almost surely, 2127713340 is an apocalyptic number.

127713340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127713340 is an abundant number, since it is smaller than the sum of its proper divisors (140761412).

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

127713340 is a wasteful number, since it uses less digits than its factorization.

127713340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6597 (or 6595 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 127713340 is about 11301.0326961743. The cubic root of 127713340 is about 503.5919210824.

The spelling of 127713340 in words is "one hundred twenty-seven million, seven hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1181 2362 4724 5407 5905 10814 11810 21628 23620 27035 54070 108140 6385667 12771334 25542668 31928335 63856670 127713340