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130759680 = 210358513
BaseRepresentation
bin1111100101100…
…11110000000000
3100010001021120010
413302303300000
5231433302210
620550344520
73145303362
oct762636000
9303037503
10130759680
11678a0757
123795b140
13211234bc
141351ad32
15b72d920
hex7cb3c00

130759680 has 88 divisors (see below), whose sum is σ = 418275792. Its totient is φ = 34865152.

The previous prime is 130759621. The next prime is 130759693. The reversal of 130759680 is 86957031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11104 + ... + 19616.

It is an arithmetic number, because the mean of its divisors is an integer number (4753134).

Almost surely, 2130759680 is an apocalyptic number.

130759680 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 130759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209137896).

130759680 is an abundant number, since it is smaller than the sum of its proper divisors (287516112).

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

130759680 is an equidigital number, since it uses as much as digits as its factorization.

130759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8541 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 130759680 is about 11435.0198950417. The cubic root of 130759680 is about 507.5645513109.

The spelling of 130759680 in words is "one hundred thirty million, seven hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 8513 15360 17026 25539 34052 42565 51078 68104 85130 102156 127695 136208 170260 204312 255390 272416 340520 408624 510780 544832 681040 817248 1021560 1089664 1362080 1634496 2043120 2179328 2724160 3268992 4086240 4358656 5448320 6537984 8172480 8717312 10896640 13075968 16344960 21793280 26151936 32689920 43586560 65379840 130759680