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130023432 = 233271147499
BaseRepresentation
bin1111100000000…
…00000000001000
3100001122212121200
413300000000020
5231241222212
620522504200
73136116030
oct760000010
9301585550
10130023432
1167438590
1237665060
1320c26356
14133a88c0
15b6356dc
hex7c00008

130023432 has 192 divisors, whose sum is σ = 449280000. Its totient is φ = 32987520.

The previous prime is 130023431. The next prime is 130023437. The reversal of 130023432 is 234320031.

130023432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130023431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260319 + ... + 260817.

It is an arithmetic number, because the mean of its divisors is an integer number (2340000).

Almost surely, 2130023432 is an apocalyptic number.

130023432 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 130023432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640000).

130023432 is an abundant number, since it is smaller than the sum of its proper divisors (319256568).

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

130023432 is a wasteful number, since it uses less digits than its factorization.

130023432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 130023432 is about 11402.7817658675. The cubic root of 130023432 is about 506.6101364292.

Adding to 130023432 its reverse (234320031), we get a palindrome (364343463).

The spelling of 130023432 in words is "one hundred thirty million, twenty-three thousand, four hundred thirty-two".