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115600968 = 23327347661
BaseRepresentation
bin1101110001111…
…10111001001000
322001112010201100
412320332321020
5214043212333
615245421400
72602410030
oct670767110
9261463640
10115600968
115a28779a
123286a860
131ac46852
14114d28c0
15a237213
hex6e3ee48

115600968 has 96 divisors (see below), whose sum is σ = 359386560. Its totient is φ = 32883840.

The previous prime is 115600957. The next prime is 115600973. The reversal of 115600968 is 869006511.

115600968 is a `hidden beast` number, since 1 + 1 + 560 + 0 + 96 + 8 = 666.

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

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, 174558 + ... + 175218.

It is an arithmetic number, because the mean of its divisors is an integer number (3743610).

Almost surely, 2115600968 is an apocalyptic number.

115600968 is a gapful number since it is divisible by the number (18) 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 115600968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179693280).

115600968 is an abundant number, since it is smaller than the sum of its proper divisors (243785592).

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

115600968 is a wasteful number, since it uses less digits than its factorization.

115600968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1020 counting only the distinct ones).

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

The square root of 115600968 is about 10751.7890604308. The cubic root of 115600968 is about 487.1400356526.

The spelling of 115600968 in words is "one hundred fifteen million, six hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 347 504 661 694 1041 1322 1388 1983 2082 2429 2644 2776 3123 3966 4164 4627 4858 5288 5949 6246 7287 7932 8328 9254 9716 11898 12492 13881 14574 15864 18508 19432 21861 23796 24984 27762 29148 37016 41643 43722 47592 55524 58296 83286 87444 111048 166572 174888 229367 333144 458734 688101 917468 1376202 1605569 1834936 2064303 2752404 3211138 4128606 4816707 5504808 6422276 8257212 9633414 12844552 14450121 16514424 19266828 28900242 38533656 57800484 115600968