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130889616 = 243111319069
BaseRepresentation
bin1111100110100…
…11011110010000
3100010021212210120
413303103132100
5232001431431
620553230240
73146354244
oct763233620
9303255716
10130889616
116797a340
1237a02380
132116a6a0
1413552424
15b757196
hex7cd3790

130889616 has 80 divisors (see below), whose sum is σ = 397266240. Its totient is φ = 36610560.

The previous prime is 130889543. The next prime is 130889623. The reversal of 130889616 is 616988031.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 2671 + ... + 16398.

It is an arithmetic number, because the mean of its divisors is an integer number (4965828).

Almost surely, 2130889616 is an apocalyptic number.

130889616 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 130889616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198633120).

130889616 is an abundant number, since it is smaller than the sum of its proper divisors (266376624).

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

130889616 is a wasteful number, since it uses less digits than its factorization.

130889616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19104 (or 19098 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 130889616 is about 11440.6999785852. The cubic root of 130889616 is about 507.7326180891.

The spelling of 130889616 in words is "one hundred thirty million, eight hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 19069 38138 57207 76276 114414 152552 209759 228828 247897 305104 419518 457656 495794 629277 743691 839036 915312 991588 1258554 1487382 1678072 1983176 2517108 2726867 2974764 3356144 3966352 5034216 5453734 5949528 8180601 10068432 10907468 11899056 16361202 21814936 32722404 43629872 65444808 130889616