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130919472 = 24321815023
BaseRepresentation
bin1111100110110…
…10110000110000
3100010100101202100
413303122300300
5232003410342
620554020400
73146540265
oct763326060
9303311670
10130919472
116799a812
1237a17700
132117b158
141355d26c
15b760e4c
hex7cdac30

130919472 has 60 divisors (see below), whose sum is σ = 368490304. Its totient is φ = 43390080.

The previous prime is 130919471. The next prime is 130919497. The reversal of 130919472 is 274919031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130919471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23553 + ... + 28575.

Almost surely, 2130919472 is an apocalyptic number.

130919472 is a gapful number since it is divisible by the number (12) 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 130919472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184245152).

130919472 is an abundant number, since it is smaller than the sum of its proper divisors (237570832).

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

130919472 is a wasteful number, since it uses less digits than its factorization.

130919472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5218 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 130919472 is about 11442.0047194537. The cubic root of 130919472 is about 507.7712198593.

The spelling of 130919472 in words is "one hundred thirty million, nine hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 362 543 724 1086 1448 1629 2172 2896 3258 4344 5023 6516 8688 10046 13032 15069 20092 26064 30138 40184 45207 60276 80368 90414 120552 180828 241104 361656 723312 909163 1818326 2727489 3636652 5454978 7273304 8182467 10909956 14546608 16364934 21819912 32729868 43639824 65459736 130919472