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130074720 = 2535535113
BaseRepresentation
bin1111100000011…
…00100001100000
3100001202110222020
413300030201200
5231244342340
620523541440
73136421406
oct760144140
9301673866
10130074720
1167473076
123768a880
1320c437b9
14133bd476
15b6459d0
hex7c0c860

130074720 has 96 divisors (see below), whose sum is σ = 417547872. Its totient is φ = 34025472.

The previous prime is 130074719. The next prime is 130074727. The reversal of 130074720 is 27470031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130074727) 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, 22884 + ... + 27996.

It is an arithmetic number, because the mean of its divisors is an integer number (4349457).

Almost surely, 2130074720 is an apocalyptic number.

130074720 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 130074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208773936).

130074720 is an abundant number, since it is smaller than the sum of its proper divisors (287473152).

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

130074720 is a wasteful number, since it uses less digits than its factorization.

130074720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 130074720 is about 11405.0304690518. The cubic root of 130074720 is about 506.6767387964.

The spelling of 130074720 in words is "one hundred thirty million, seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 5113 6360 8480 10226 12720 15339 20452 25440 25565 30678 40904 51130 61356 76695 81808 102260 122712 153390 163616 204520 245424 270989 306780 409040 490848 541978 613560 812967 818080 1083956 1227120 1354945 1625934 2167912 2454240 2709890 3251868 4064835 4335824 5419780 6503736 8129670 8671648 10839560 13007472 16259340 21679120 26014944 32518680 43358240 65037360 130074720