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130088432 = 24291392017
BaseRepresentation
bin1111100000011…
…11110111110000
3100001210011210002
413300033313300
5231300312212
620524125132
73136506365
oct760176760
9301704702
10130088432
1167482401
12376967a8
1320c49b06
14133c446c
15b649ac2
hex7c0fdf0

130088432 has 40 divisors (see below), whose sum is σ = 262743600. Its totient is φ = 62318592.

The previous prime is 130088423. The next prime is 130088467. The reversal of 130088432 is 234880031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 130088395 and 130088404.

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, 63488 + ... + 65504.

It is an arithmetic number, because the mean of its divisors is an integer number (6568590).

Almost surely, 2130088432 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 130088432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131371800).

130088432 is an abundant number, since it is smaller than the sum of its proper divisors (132655168).

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

130088432 is a wasteful number, since it uses less digits than its factorization.

130088432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 130088432 is about 11405.6315914552. The cubic root of 130088432 is about 506.6945421721.

The spelling of 130088432 in words is "one hundred thirty million, eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 139 232 278 464 556 1112 2017 2224 4031 4034 8062 8068 16124 16136 32248 32272 58493 64496 116986 233972 280363 467944 560726 935888 1121452 2242904 4485808 8130527 16261054 32522108 65044216 130088432