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115860960 = 25325611319
BaseRepresentation
bin1101110011111…
…10010111100000
322002000100100200
412321332113200
5214130022320
615255145200
72604542025
oct671762740
9262010320
10115860960
115a445066
1232975200
131b007ca7
141155d54c
15a289290
hex6e7e5e0

115860960 has 144 divisors (see below), whose sum is σ = 402161760. Its totient is φ = 30366720.

The previous prime is 115860931. The next prime is 115860961. The reversal of 115860960 is 69068511.

115860960 is a `hidden beast` number, since 11 + 586 + 0 + 9 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115860961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87181 + ... + 88499.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2115860960 is an apocalyptic number.

115860960 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 115860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080880).

115860960 is an abundant number, since it is smaller than the sum of its proper divisors (286300800).

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

115860960 is a wasteful number, since it uses less digits than its factorization.

115860960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 115860960 is about 10763.8729089487. The cubic root of 115860960 is about 487.5049624741.

The spelling of 115860960 in words is "one hundred fifteen million, eight hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 720 732 915 976 1098 1220 1319 1440 1464 1830 1952 2196 2440 2638 2745 2928 3660 3957 4392 4880 5276 5490 5856 6595 7320 7914 8784 9760 10552 10980 11871 13190 14640 15828 17568 19785 21104 21960 23742 26380 29280 31656 39570 42208 43920 47484 52760 59355 63312 79140 80459 87840 94968 105520 118710 126624 158280 160918 189936 211040 237420 241377 316560 321836 379872 402295 474840 482754 633120 643672 724131 804590 949680 965508 1206885 1287344 1448262 1609180 1899360 1931016 2413770 2574688 2896524 3218360 3620655 3862032 4827540 5793048 6436720 7241310 7724064 9655080 11586096 12873440 14482620 19310160 23172192 28965240 38620320 57930480 115860960