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130138752 = 2731917837
BaseRepresentation
bin1111100000111…
…00001010000000
3100001212201210210
413300130022000
5231303420002
620525154120
73140106162
oct760341200
9301781723
10130138752
1167507197
12376bb940
1320c669a3
14133d8932
15b65996c
hex7c1c280

130138752 has 64 divisors (see below), whose sum is σ = 363895200. Its totient is φ = 41094144.

The previous prime is 130138727. The next prime is 130138753. The reversal of 130138752 is 257831031.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (130138753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1623 + ... + 16214.

Almost surely, 2130138752 is an apocalyptic number.

130138752 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 130138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181947600).

130138752 is an abundant number, since it is smaller than the sum of its proper divisors (233756448).

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

130138752 is a wasteful number, since it uses less digits than its factorization.

130138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17873 (or 17861 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 130138752 is about 11407.8373059928. The cubic root of 130138752 is about 506.7598658963.

Adding to 130138752 its reverse (257831031), we get a palindrome (387969783).

The spelling of 130138752 in words is "one hundred thirty million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 17837 35674 53511 71348 107022 142696 214044 285392 338903 428088 570784 677806 856176 1016709 1141568 1355612 1712352 2033418 2283136 2711224 3424704 4066836 5422448 6849408 8133672 10844896 16267344 21689792 32534688 43379584 65069376 130138752