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130762736 = 24132371307
BaseRepresentation
bin1111100101101…
…00011111110000
3100010001102202022
413302310133300
5231433401421
620550411012
73145315316
oct762643760
9303042668
10130762736
11678a2a85
1237960a68
1321124a00
141351c0b6
15b72e7ab
hex7cb47f0

130762736 has 60 divisors (see below), whose sum is σ = 281970792. Its totient is φ = 58675968.

The previous prime is 130762729. The next prime is 130762763. The reversal of 130762736 is 637267031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130762696 and 130762705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99395 + ... + 100701.

Almost surely, 2130762736 is an apocalyptic number.

130762736 is a gapful number since it is divisible by the number (16) 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 130762736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140985396).

130762736 is an abundant number, since it is smaller than the sum of its proper divisors (151208056).

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

130762736 is a wasteful number, since it uses less digits than its factorization.

130762736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 130762736 is about 11435.1535188645. The cubic root of 130762736 is about 507.5685053972.

The spelling of 130762736 in words is "one hundred thirty million, seven hundred sixty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 169 208 296 338 481 592 676 962 1307 1352 1924 2614 2704 3848 5228 6253 7696 10456 12506 16991 20912 25012 33982 48359 50024 67964 96718 100048 135928 193436 220883 271856 386872 441766 628667 773744 883532 1257334 1767064 2514668 3534128 5029336 8172671 10058672 16345342 32690684 65381368 130762736