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130714272 = 25321334913
BaseRepresentation
bin1111100101010…
…00101010100000
3100002221222021100
413302220222200
5231430324042
620545354400
73145024113
oct762505240
9302858240
10130714272
116786a627
1237938a00
1321108930
141350857a
15b72024c
hex7ca8aa0

130714272 has 72 divisors (see below), whose sum is σ = 400323924. Its totient is φ = 40218624.

The previous prime is 130714249. The next prime is 130714291. The reversal of 130714272 is 272417031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 125350416 + 5363856 = 11196^2 + 2316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13713 + ... + 21200.

Almost surely, 2130714272 is an apocalyptic number.

130714272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130714272 is an abundant number, since it is smaller than the sum of its proper divisors (269609652).

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

130714272 is a wasteful number, since it uses less digits than its factorization.

130714272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34942 (or 34931 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 130714272 is about 11433.0342429296. The cubic root of 130714272 is about 507.5057917108.

The spelling of 130714272 in words is "one hundred thirty million, seven hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 34913 69826 104739 139652 209478 279304 314217 418956 453869 558608 628434 837912 907738 1117216 1256868 1361607 1675824 1815476 2513736 2723214 3351648 3630952 4084821 5027472 5446428 7261904 8169642 10054944 10892856 14523808 16339284 21785712 32678568 43571424 65357136 130714272