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130927170 = 235112913681
BaseRepresentation
bin1111100110111…
…00101001000010
3100010100210022110
413303130221002
5232004132140
620554120150
73146601603
oct763345102
9303323273
10130927170
11679a5580
1237a20056
13211817ca
1413561daa
15b763380
hex7cdca42

130927170 has 64 divisors (see below), whose sum is σ = 354637440. Its totient is φ = 30643200.

The previous prime is 130927169. The next prime is 130927171. The reversal of 130927170 is 71729031.

It is an interprime number because it is at equal distance from previous prime (130927169) and next prime (130927171).

It is a super-3 number, since 3×1309271703 (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (130927171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730 + ... + 16410.

It is an arithmetic number, because the mean of its divisors is an integer number (5541210).

Almost surely, 2130927170 is an apocalyptic number.

130927170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130927170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177318720).

130927170 is an abundant number, since it is smaller than the sum of its proper divisors (223710270).

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

130927170 is a wasteful number, since it uses less digits than its factorization.

130927170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13731.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 130927170 is about 11442.3411066093. The cubic root of 130927170 is about 507.7811718961.

The spelling of 130927170 in words is "one hundred thirty million, nine hundred twenty-seven thousand, one hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 13681 27362 41043 68405 82086 136810 150491 205215 300982 396749 410430 451473 752455 793498 902946 1190247 1504910 1983745 2257365 2380494 3967490 4364239 4514730 5951235 8728478 11902470 13092717 21821195 26185434 43642390 65463585 130927170