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130733736 = 23376112757
BaseRepresentation
bin1111100101011…
…01011010101000
3100002222221222020
413302231122220
5231431434421
620550024440
73145134630
oct762553250
9302887866
10130733736
1167883211
1237948120
1321114753
14135116c0
15b725dc6
hex7cad6a8

130733736 has 64 divisors (see below), whose sum is σ = 379678080. Its totient is φ = 36737280.

The previous prime is 130733719. The next prime is 130733747. The reversal of 130733736 is 637337031.

It is a junction number, because it is equal to n+sod(n) for n = 130733697 and 130733706.

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, 3870 + ... + 16626.

It is an arithmetic number, because the mean of its divisors is an integer number (5932470).

Almost surely, 2130733736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130733736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189839040).

130733736 is an abundant number, since it is smaller than the sum of its proper divisors (248944344).

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

130733736 is a wasteful number, since it uses less digits than its factorization.

130733736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834 (or 12830 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 33.

The square root of 130733736 is about 11433.8854288470. The cubic root of 130733736 is about 507.5309804993.

It can be divided in two parts, 130 and 733736, that added together give a triangular number (733866 = T1211).

The spelling of 130733736 in words is "one hundred thirty million, seven hundred thirty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 12757 25514 38271 51028 76542 89299 102056 153084 178598 267897 306168 357196 535794 714392 778177 1071588 1556354 2143176 2334531 3112708 4669062 5447239 6225416 9338124 10894478 16341717 18676248 21788956 32683434 43577912 65366868 130733736