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130960984 = 23711297331
BaseRepresentation
bin1111100111001…
…00111001011000
3100010102111200211
413303210321120
5232011222414
620554540504
73150102310
oct763447130
9303374624
10130960984
1167a18a20
1237a37734
132119400b
1413570440
15b76d3c4
hex7ce4e58

130960984 has 64 divisors (see below), whose sum is σ = 316742400. Its totient is φ = 49257600.

The previous prime is 130960967. The next prime is 130960997. The reversal of 130960984 is 489069031.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14199 + ... + 21529.

It is an arithmetic number, because the mean of its divisors is an integer number (4949100).

Almost surely, 2130960984 is an apocalyptic number.

130960984 is a gapful number since it is divisible by the number (14) 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 130960984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158371200).

130960984 is an abundant number, since it is smaller than the sum of its proper divisors (185781416).

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

130960984 is a wasteful number, since it uses less digits than its factorization.

130960984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 130960984 is about 11443.8185934591. The cubic root of 130960984 is about 507.8248822903.

The spelling of 130960984 in words is "one hundred thirty million, nine hundred sixty thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 406 616 638 812 1276 1624 2233 2552 4466 7331 8932 14662 17864 29324 51317 58648 80641 102634 161282 205268 212599 322564 410536 425198 564487 645128 850396 1128974 1488193 1700792 2257948 2338589 2976386 4515896 4677178 5952772 9354356 11905544 16370123 18708712 32740246 65480492 130960984