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130746364 = 22735913007
BaseRepresentation
bin1111100101100…
…00011111111100
3100010000121021221
413302300133330
5231432340424
620550203124
73145216510
oct762603774
9303017257
10130746364
1167891751
12379534a4
132111a418
1413516140
15b7299e4
hex7cb07fc

130746364 has 24 divisors (see below), whose sum is σ = 262241280. Its totient is φ = 55873776.

The previous prime is 130746349. The next prime is 130746367. The reversal of 130746364 is 463647031.

It is a super-2 number, since 2×1307463642 = 34189223398440992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130746367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3549 + ... + 16555.

It is an arithmetic number, because the mean of its divisors is an integer number (10926720).

Almost surely, 2130746364 is an apocalyptic number.

130746364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130746364 is an abundant number, since it is smaller than the sum of its proper divisors (131494916).

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

130746364 is a wasteful number, since it uses less digits than its factorization.

130746364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13377 (or 13375 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 130746364 is about 11434.4376337448. The cubic root of 130746364 is about 507.5473213334.

The spelling of 130746364 in words is "one hundred thirty million, seven hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 359 718 1436 2513 5026 10052 13007 26014 52028 91049 182098 364196 4669513 9339026 18678052 32686591 65373182 130746364