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130760760 = 233513109769
BaseRepresentation
bin1111100101101…
…00000000111000
3100010001100001010
413302310000320
5231433321020
620550353520
73145306464
oct762640070
9303040033
10130760760
11678a1549
123795b8a0
1321123b40
141351b4a4
15b72dde0
hex7cb4038

130760760 has 128 divisors (see below), whose sum is σ = 426888000. Its totient is φ = 31850496.

The previous prime is 130760743. The next prime is 130760779. The reversal of 130760760 is 67067031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169656 + ... + 170424.

Almost surely, 2130760760 is an apocalyptic number.

130760760 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 130760760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213444000).

130760760 is an abundant number, since it is smaller than the sum of its proper divisors (296127240).

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

130760760 is a wasteful number, since it uses less digits than its factorization.

130760760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 130760760 is about 11435.0671182989. The cubic root of 130760760 is about 507.5659487044.

The spelling of 130760760 in words is "one hundred thirty million, seven hundred sixty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 109 120 130 156 195 218 260 312 327 390 436 520 545 654 769 780 872 1090 1308 1417 1538 1560 1635 2180 2307 2616 2834 3076 3270 3845 4251 4360 4614 5668 6152 6540 7085 7690 8502 9228 9997 11336 11535 13080 14170 15380 17004 18456 19994 21255 23070 28340 29991 30760 34008 39988 42510 46140 49985 56680 59982 79976 83821 85020 92280 99970 119964 149955 167642 170040 199940 239928 251463 299910 335284 399880 419105 502926 599820 670568 838210 1005852 1089673 1199640 1257315 1676420 2011704 2179346 2514630 3269019 3352840 4358692 5029260 5448365 6538038 8717384 10058520 10896730 13076076 16345095 21793460 26152152 32690190 43586920 65380380 130760760