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115630560 = 25325591361
BaseRepresentation
bin1101110010001…
…10000111100000
322001120122022100
412321012013200
5214100134220
615250210400
72602562223
oct671060740
9261518270
10115630560
115a2a7a51
1232883a00
131ac57166
14114dd5ba
15a240d90
hex6e461e0

115630560 has 144 divisors (see below), whose sum is σ = 401572080. Its totient is φ = 30289920.

The previous prime is 115630519. The next prime is 115630609. The reversal of 115630560 is 65036511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84280 + ... + 85640.

It is an arithmetic number, because the mean of its divisors is an integer number (2788695).

Almost surely, 2115630560 is an apocalyptic number.

115630560 is a gapful number since it is divisible by the number (10) 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 115630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200786040).

115630560 is an abundant number, since it is smaller than the sum of its proper divisors (285941520).

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

115630560 is a wasteful number, since it uses less digits than its factorization.

115630560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 115630560 is about 10753.1651154439. The cubic root of 115630560 is about 487.1815987938.

The spelling of 115630560 in words is "one hundred fifteen million, six hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 59 60 72 80 90 96 118 120 144 160 177 180 236 240 288 295 354 360 472 480 531 590 708 720 885 944 1062 1180 1361 1416 1440 1770 1888 2124 2360 2655 2722 2832 3540 4083 4248 4720 5310 5444 5664 6805 7080 8166 8496 9440 10620 10888 12249 13610 14160 16332 16992 20415 21240 21776 24498 27220 28320 32664 40830 42480 43552 48996 54440 61245 65328 80299 81660 84960 97992 108880 122490 130656 160598 163320 195984 217760 240897 244980 321196 326640 391968 401495 481794 489960 642392 653280 722691 802990 963588 979920 1204485 1284784 1445382 1605980 1927176 1959840 2408970 2569568 2890764 3211960 3613455 3854352 4817940 5781528 6423920 7226910 7708704 9635880 11563056 12847840 14453820 19271760 23126112 28907640 38543520 57815280 115630560