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130365126 = 235313857
BaseRepresentation
bin1111100010100…
…11011011000110
3100002022020100000
413301103123012
5231333141001
620534102130
73142041153
oct761233306
9302266300
10130365126
1167651281
12377aa946
1321015a38
141345722a
15b6a1a86
hex7c536c6

130365126 has 48 divisors (see below), whose sum is σ = 294197904. Its totient is φ = 43265664.

The previous prime is 130365101. The next prime is 130365149. The reversal of 130365126 is 621563031.

130365126 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 651 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 130365126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151690 + ... + 152546.

It is an arithmetic number, because the mean of its divisors is an integer number (6129123).

Almost surely, 2130365126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130365126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147098952).

130365126 is an abundant number, since it is smaller than the sum of its proper divisors (163832778).

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

130365126 is an equidigital number, since it uses as much as digits as its factorization.

130365126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 130365126 is about 11417.7548581146. The cubic root of 130365126 is about 507.0535288883.

The spelling of 130365126 in words is "one hundred thirty million, three hundred sixty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 313 486 626 857 939 1714 1878 2571 2817 5142 5634 7713 8451 15426 16902 23139 25353 46278 50706 69417 76059 138834 152118 208251 268241 416502 536482 804723 1609446 2414169 4828338 7242507 14485014 21727521 43455042 65182563 130365126