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115113768 = 233711167373
BaseRepresentation
bin1101101110001…
…11111100101000
322000121101101220
412313013330220
5213432120033
615231142040
72565310440
oct667077450
9260541356
10115113768
1159a84750
1232674920
131ab05b73
1411407120
15a18cbb3
hex6dc7f28

115113768 has 128 divisors (see below), whose sum is σ = 361912320. Its totient is φ = 29640960.

The previous prime is 115113751. The next prime is 115113769. The reversal of 115113768 is 867311511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (115113769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308430 + ... + 308802.

It is an arithmetic number, because the mean of its divisors is an integer number (2827440).

Almost surely, 2115113768 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 115113768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180956160).

115113768 is an abundant number, since it is smaller than the sum of its proper divisors (246798552).

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

115113768 is a wasteful number, since it uses less digits than its factorization.

115113768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its digits is 5040, while the sum is 33.

The square root of 115113768 is about 10729.1084438550. The cubic root of 115113768 is about 486.4547218306.

The spelling of 115113768 in words is "one hundred fifteen million, one hundred thirteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 167 168 231 264 308 334 373 462 501 616 668 746 924 1002 1119 1169 1336 1492 1837 1848 2004 2238 2338 2611 2984 3507 3674 4008 4103 4476 4676 5222 5511 7014 7348 7833 8206 8952 9352 10444 11022 12309 12859 14028 14696 15666 16412 20888 22044 24618 25718 28056 28721 31332 32824 38577 44088 49236 51436 57442 62291 62664 77154 86163 98472 102872 114884 124582 154308 172326 186873 229768 249164 308616 344652 373746 436037 498328 685201 689304 747492 872074 1308111 1370402 1494984 1744148 2055603 2616222 2740804 3488296 4111206 4796407 5232444 5481608 8222412 9592814 10464888 14389221 16444824 19185628 28778442 38371256 57556884 115113768