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130015984 = 2473137447
BaseRepresentation
bin1111011111111…
…10001011110000
3100001122111101211
413233332023300
5231241002414
620522405504
73136055230
oct757761360
9301574354
10130015984
1167432a2a
1237660894
1320c22b47
14133a5cc0
15b6333c4
hex7bfe2f0

130015984 has 40 divisors (see below), whose sum is σ = 297187328. Its totient is φ = 53922240.

The previous prime is 130015937. The next prime is 130016009. The reversal of 130015984 is 489510031.

It is a super-3 number, since 3×1300159843 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15252 + ... + 22195.

Almost surely, 2130015984 is an apocalyptic number.

130015984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130015984 is an abundant number, since it is smaller than the sum of its proper divisors (167171344).

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

130015984 is a wasteful number, since it uses less digits than its factorization.

130015984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37493 (or 37487 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 130015984 is about 11402.4551742158. The cubic root of 130015984 is about 506.6004630335.

The spelling of 130015984 in words is "one hundred thirty million, fifteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 37447 74894 149788 262129 299576 524258 599152 1048516 1160857 2097032 2321714 4194064 4643428 8125999 9286856 16251998 18573712 32503996 65007992 130015984