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130793088 = 2732359251
BaseRepresentation
bin1111100101110…
…11111010000000
3100010002222101110
413302323322000
5231440334323
620551203320
73145502646
oct762737200
9303088343
10130793088
1167913868
1237976540
132113577a
1413529196
15b738793
hex7cbbe80

130793088 has 128 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 40832000.

The previous prime is 130793077. The next prime is 130793099. The reversal of 130793088 is 880397031.

It is an interprime number because it is at equal distance from previous prime (130793077) and next prime (130793099).

It is a tau number, because it is divible by the number of its divisors (128).

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, 520963 + ... + 521213.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2130793088 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 130793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

130793088 is an abundant number, since it is smaller than the sum of its proper divisors (239344512).

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

130793088 is a wasteful number, since it uses less digits than its factorization.

130793088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 130793088 is about 11436.4805775203. The cubic root of 130793088 is about 507.6077737900.

It can be divided in two parts, 1307 and 93088, that added together give a triangular number (94395 = T434).

The spelling of 130793088 in words is "one hundred thirty million, seven hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 64 69 92 96 118 128 138 177 184 192 236 251 276 354 368 384 472 502 552 708 736 753 944 1004 1104 1357 1416 1472 1506 1888 2008 2208 2714 2832 2944 3012 3776 4016 4071 4416 5428 5664 5773 6024 7552 8032 8142 8832 10856 11328 11546 12048 14809 16064 16284 17319 21712 22656 23092 24096 29618 32128 32568 34638 43424 44427 46184 48192 59236 65136 69276 86848 88854 92368 96384 118472 130272 138552 173696 177708 184736 236944 260544 277104 340607 355416 369472 473888 521088 554208 681214 710832 738944 947776 1021821 1108416 1362428 1421664 1895552 2043642 2216832 2724856 2843328 4087284 5449712 5686656 8174568 10899424 16349136 21798848 32698272 43597696 65396544 130793088