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130479024 = 24313211991
BaseRepresentation
bin1111100011011…
…11001110110000
3100002112000120110
413301233032300
5231400312044
620540341320
73143024214
oct761571660
9302460513
10130479024
1167719905
1237844840
1321055830
1413486944
15b6c56b9
hex7c6f3b0

130479024 has 80 divisors (see below), whose sum is σ = 365087744. Its totient is φ = 39916800.

The previous prime is 130479017. The next prime is 130479047. The reversal of 130479024 is 420974031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130478982 and 130479000.

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, 131169 + ... + 132159.

Almost surely, 2130479024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130479024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182543872).

130479024 is an abundant number, since it is smaller than the sum of its proper divisors (234608720).

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

130479024 is a wasteful number, since it uses less digits than its factorization.

130479024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 130479024 is about 11422.7415273217. The cubic root of 130479024 is about 507.2011541867.

The spelling of 130479024 in words is "one hundred thirty million, four hundred seventy-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 211 312 422 624 633 844 991 1266 1688 1982 2532 2743 2973 3376 3964 5064 5486 5946 7928 8229 10128 10972 11892 12883 15856 16458 21944 23784 25766 32916 38649 43888 47568 51532 65832 77298 103064 131664 154596 206128 209101 309192 418202 618384 627303 836404 1254606 1672808 2509212 2718313 3345616 5018424 5436626 8154939 10036848 10873252 16309878 21746504 32619756 43493008 65239512 130479024