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113832648 = 23331927737
BaseRepresentation
bin1101100100011…
…11001011001000
321221012022001000
412302033023020
5213120121043
615143455000
72551363416
oct662171310
9257168030
10113832648
115928a176
1232157460
131a7779c7
14111922b6
159ed82d3
hex6c8f2c8

113832648 has 64 divisors (see below), whose sum is σ = 332856000. Its totient is φ = 35945856.

The previous prime is 113832643. The next prime is 113832659. The reversal of 113832648 is 846238311.

113832648 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 3 + 2 + 648 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113832643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9765 + ... + 17972.

It is an arithmetic number, because the mean of its divisors is an integer number (5200875).

Almost surely, 2113832648 is an apocalyptic number.

113832648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113832648 is an abundant number, since it is smaller than the sum of its proper divisors (219023352).

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

113832648 is a wasteful number, since it uses less digits than its factorization.

113832648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27771 (or 27761 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 113832648 is about 10669.2383983113. The cubic root of 113832648 is about 484.6433740680.

The spelling of 113832648 in words is "one hundred thirteen million, eight hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 27737 55474 83211 110948 166422 221896 249633 332844 499266 527003 665688 748899 998532 1054006 1497798 1581009 1997064 2108012 2995596 3162018 4216024 4743027 5991192 6324036 9486054 12648072 14229081 18972108 28458162 37944216 56916324 113832648