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130756608 = 212323547
BaseRepresentation
bin1111100101100…
…11000000000000
3100010001010100100
413302303000000
5231433202413
620550322400
73145261413
oct762630000
9303033310
10130756608
1167899414
1237959400
1321121c98
1413519b7a
15b72ca73
hex7cb3000

130756608 has 78 divisors (see below), whose sum is σ = 377801684. Its totient is φ = 43573248.

The previous prime is 130756603. The next prime is 130756627. The reversal of 130756608 is 806657031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130756603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35091 + ... + 38637.

Almost surely, 2130756608 is an apocalyptic number.

130756608 is a gapful number since it is divisible by the number (18) 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 130756608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188900842).

130756608 is an abundant number, since it is smaller than the sum of its proper divisors (247045076).

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

130756608 is an equidigital number, since it uses as much as digits as its factorization.

130756608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 130756608 is about 11434.8855700440. The cubic root of 130756608 is about 507.5605764604.

It can be divided in two parts, 13075 and 6608, that added together give a 9-th power (19683 = 39).

The spelling of 130756608 in words is "one hundred thirty million, seven hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3547 4096 4608 6144 7094 9216 10641 12288 14188 18432 21282 28376 31923 36864 42564 56752 63846 85128 113504 127692 170256 227008 255384 340512 454016 510768 681024 908032 1021536 1362048 1816064 2043072 2724096 3632128 4086144 5448192 7264256 8172288 10896384 14528512 16344576 21792768 32689152 43585536 65378304 130756608