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130058460 = 2235573823
BaseRepresentation
bin1111100000010…
…00100011011100
3100001201122200000
413300020203130
5231243332320
620523334300
73136323120
oct760104334
9301648600
10130058460
1167461934
1237681390
1320c3928c
14133b7580
15b640c90
hex7c088dc

130058460 has 144 divisors (see below), whose sum is σ = 467690496. Its totient is φ = 29719872.

The previous prime is 130058429. The next prime is 130058471. The reversal of 130058460 is 64850031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32109 + ... + 35931.

Almost surely, 2130058460 is an apocalyptic number.

130058460 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 130058460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233845248).

130058460 is an abundant number, since it is smaller than the sum of its proper divisors (337632036).

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

130058460 is a wasteful number, since it uses less digits than its factorization.

130058460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3840 counting only the distinct ones).

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

The square root of 130058460 is about 11404.3176034342. The cubic root of 130058460 is about 506.6556255289.

The spelling of 130058460 in words is "one hundred thirty million, fifty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 3823 4860 5670 6804 7646 8505 11340 11469 15292 17010 19115 22938 26761 34020 34407 38230 45876 53522 57345 68814 76460 80283 103221 107044 114690 133805 137628 160566 172035 206442 229380 240849 267610 309663 321132 344070 401415 412884 481698 516105 535220 619326 688140 722547 802830 928989 963396 1032210 1204245 1238652 1445094 1548315 1605660 1857978 2064420 2167641 2408490 2890188 3096630 3612735 3715956 4335282 4644945 4816980 6193260 6502923 7225470 8670564 9289890 10838205 13005846 14450940 18579780 21676410 26011692 32514615 43352820 65029230 130058460