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9130368 = 273133159
BaseRepresentation
bin100010110101…
…000110000000
3122011212111210
4202311012000
54314132433
6523410120
7140415102
oct42650600
918155453
109130368
115176865
123083940
131b78ab0
1412d9572
15c05463
hex8b5180

9130368 has 128 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 2672640.

The previous prime is 9130357. The next prime is 9130423. The reversal of 9130368 is 8630319.

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

It is an Ulam number.

It is a congruent number.

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, 154723 + ... + 154781.

It is an arithmetic number, because the mean of its divisors is an integer number (214200).

Almost surely, 29130368 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 9130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

9130368 is an abundant number, since it is smaller than the sum of its proper divisors (18287232).

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

9130368 is a wasteful number, since it uses less digits than its factorization.

9130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 9130368 is about 3021.6498804461. The cubic root of 9130368 is about 209.0079283944.

The spelling of 9130368 in words is "nine million, one hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 59 62 64 78 93 96 104 118 124 128 156 177 186 192 208 236 248 312 354 372 384 403 416 472 496 624 708 744 767 806 832 944 992 1209 1248 1416 1488 1534 1612 1664 1829 1888 1984 2301 2418 2496 2832 2976 3068 3224 3658 3776 3968 4602 4836 4992 5487 5664 5952 6136 6448 7316 7552 9204 9672 10974 11328 11904 12272 12896 14632 18408 19344 21948 22656 23777 24544 25792 29264 36816 38688 43896 47554 49088 51584 58528 71331 73632 77376 87792 95108 98176 117056 142662 147264 154752 175584 190216 234112 285324 294528 351168 380432 570648 702336 760864 1141296 1521728 2282592 3043456 4565184 9130368