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130956736 = 268389277
BaseRepresentation
bin1111100111000…
…11110111000000
3100010102021212111
413303203313000
5232011103421
620554505104
73150054031
oct763436700
9303367774
10130956736
1167a15809
1237a35194
13211920c1
141356ca88
15b76bee1
hex7ce3dc0

130956736 has 56 divisors (see below), whose sum is σ = 266913360. Its totient is φ = 63731712.

The previous prime is 130956703. The next prime is 130956737. The reversal of 130956736 is 637659031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130956737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472630 + ... + 472906.

It is an arithmetic number, because the mean of its divisors is an integer number (4766310).

Almost surely, 2130956736 is an apocalyptic number.

130956736 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 130956736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133456680).

130956736 is an abundant number, since it is smaller than the sum of its proper divisors (135956624).

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

130956736 is an equidigital number, since it uses as much as digits as its factorization.

130956736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The square root of 130956736 is about 11443.6329895711. The cubic root of 130956736 is about 507.8193914350.

The spelling of 130956736 in words is "one hundred thirty million, nine hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 83 89 166 178 277 332 356 554 664 712 1108 1328 1424 2216 2656 2848 4432 5312 5696 7387 8864 14774 17728 22991 24653 29548 45982 49306 59096 91964 98612 118192 183928 197224 236384 367856 394448 472768 735712 788896 1471424 1577792 2046199 4092398 8184796 16369592 32739184 65478368 130956736