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130647920 = 24513269467
BaseRepresentation
bin1111100100110…
…00011101110000
3100002211121020212
413302120131300
5231421213140
620544123252
73144326504
oct762303560
9302747225
10130647920
1167824797
1237906528
13210b4680
14134cc304
15b70a765
hex7c98770

130647920 has 80 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 47956992.

The previous prime is 130647917. The next prime is 130647943. The reversal of 130647920 is 29746031.

130647920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279527 + ... + 279993.

It is an arithmetic number, because the mean of its divisors is an integer number (4113018).

Almost surely, 2130647920 is an apocalyptic number.

130647920 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 130647920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

130647920 is an abundant number, since it is smaller than the sum of its proper divisors (198393520).

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

130647920 is a wasteful number, since it uses less digits than its factorization.

130647920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 130647920 is about 11430.1321077230. The cubic root of 130647920 is about 507.4199053390.

The spelling of 130647920 in words is "one hundred thirty million, six hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 269 467 520 538 934 1040 1076 1345 1868 2152 2335 2690 3497 3736 4304 4670 5380 6071 6994 7472 9340 10760 12142 13988 17485 18680 21520 24284 27976 30355 34970 37360 48568 55952 60710 69940 97136 121420 125623 139880 242840 251246 279760 485680 502492 628115 1004984 1256230 1633099 2009968 2512460 3266198 5024920 6532396 8165495 10049840 13064792 16330990 26129584 32661980 65323960 130647920