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130386760 = 2357736379
BaseRepresentation
bin1111100010110…
…00101101001000
3100002100100000021
413301120231020
5231334334020
620534350224
73142161220
oct761305510
9302310007
10130386760
1167666559
12377bb374
132102283a
1413461080
15b6a81aa
hex7c58b48

130386760 has 64 divisors (see below), whose sum is σ = 339926400. Its totient is φ = 44084736.

The previous prime is 130386703. The next prime is 130386761. The reversal of 130386760 is 67683031.

It is not an unprimeable number, because it can be changed into a prime (130386761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17251 + ... + 23629.

It is an arithmetic number, because the mean of its divisors is an integer number (5311350).

Almost surely, 2130386760 is an apocalyptic number.

130386760 is a gapful number since it is divisible by the number (10) 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 130386760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169963200).

130386760 is an abundant number, since it is smaller than the sum of its proper divisors (209539640).

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

130386760 is a wasteful number, since it uses less digits than its factorization.

130386760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 130386760 is about 11418.7022029651. The cubic root of 130386760 is about 507.0815757279.

The spelling of 130386760 in words is "one hundred thirty million, three hundred eighty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2555 2920 4088 5110 6379 10220 12758 20440 25516 31895 44653 51032 63790 89306 127580 178612 223265 255160 357224 446530 465667 893060 931334 1786120 1862668 2328335 3259669 3725336 4656670 6519338 9313340 13038676 16298345 18626680 26077352 32596690 65193380 130386760