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130707460 = 225131926459
BaseRepresentation
bin1111100101001…
…11000000000100
3100002221121221001
413302213000010
5231430114320
620545303044
73144665212
oct762470004
9302847831
10130707460
11678654a4
1237934a84
13211057c0
1413505cb2
15b71d20a
hex7ca7004

130707460 has 48 divisors (see below), whose sum is σ = 311169600. Its totient is φ = 45719424.

The previous prime is 130707443. The next prime is 130707461. The reversal of 130707460 is 64707031.

130707460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130707461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8290 + ... + 18169.

It is an arithmetic number, because the mean of its divisors is an integer number (6482700).

Almost surely, 2130707460 is an apocalyptic number.

130707460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130707460 is an abundant number, since it is smaller than the sum of its proper divisors (180462140).

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

130707460 is a wasteful number, since it uses less digits than its factorization.

130707460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26500 (or 26498 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 130707460 is about 11432.7363303804. The cubic root of 130707460 is about 507.4969755617.

The spelling of 130707460 in words is "one hundred thirty million, seven hundred seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 26459 52918 105836 132295 264590 343967 502721 529180 687934 1005442 1375868 1719835 2010884 2513605 3439670 5027210 6535373 6879340 10054420 13070746 26141492 32676865 65353730 130707460