Search a number
-
+
130084560 = 24325792287
BaseRepresentation
bin1111100000011…
…10111011010000
3100001202222110200
413300032323100
5231300201220
620524055200
73136462164
oct760167320
9301688420
10130084560
116747a501
1237694500
1320c48118
14133c2ca4
15b648890
hex7c0eed0

130084560 has 120 divisors (see below), whose sum is σ = 442590720. Its totient is φ = 34235136.

The previous prime is 130084547. The next prime is 130084601. The reversal of 130084560 is 65480031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55737 + ... + 58023.

It is an arithmetic number, because the mean of its divisors is an integer number (3688256).

Almost surely, 2130084560 is an apocalyptic number.

130084560 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 130084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221295360).

130084560 is an abundant number, since it is smaller than the sum of its proper divisors (312506160).

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

130084560 is a wasteful number, since it uses less digits than its factorization.

130084560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130084560 is about 11405.4618494825. The cubic root of 130084560 is about 506.6895149746.

The spelling of 130084560 in words is "one hundred thirty million, eighty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2287 2370 2844 3160 3555 3792 4574 4740 5688 6320 6861 7110 9148 9480 11376 11435 13722 14220 18296 18960 20583 22870 27444 28440 34305 36592 41166 45740 54888 56880 68610 82332 91480 102915 109776 137220 164664 180673 182960 205830 274440 329328 361346 411660 542019 548880 722692 823320 903365 1084038 1445384 1626057 1646640 1806730 2168076 2710095 2890768 3252114 3613460 4336152 5420190 6504228 7226920 8130285 8672304 10840380 13008456 14453840 16260570 21680760 26016912 32521140 43361520 65042280 130084560