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130729332 = 223232916333
BaseRepresentation
bin1111100101011…
…00010101110100
3100002222201221010
413302230111310
5231431314312
620545552220
73145116036
oct762542564
9302881833
10130729332
116787a978
1237945670
1321112746
141350dc56
15b72493c
hex7cac574

130729332 has 48 divisors (see below), whose sum is σ = 329293440. Its totient is φ = 40242048.

The previous prime is 130729301. The next prime is 130729369. The reversal of 130729332 is 233927031.

It is a self number, because there is not a number n which added to its sum of digits gives 130729332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163 + ... + 16170.

It is an arithmetic number, because the mean of its divisors is an integer number (6860280).

Almost surely, 2130729332 is an apocalyptic number.

130729332 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 130729332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164646720).

130729332 is an abundant number, since it is smaller than the sum of its proper divisors (198564108).

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

130729332 is a wasteful number, since it uses less digits than its factorization.

130729332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16392 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 130729332 is about 11433.6928417725. The cubic root of 130729332 is about 507.5252814054.

The spelling of 130729332 in words is "one hundred thirty million, seven hundred twenty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 4002 8004 16333 32666 48999 65332 97998 195996 375659 473657 751318 947314 1126977 1420971 1502636 1894628 2253954 2841942 4507908 5683884 10894111 21788222 32682333 43576444 65364666 130729332