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113832432 = 2433737643
BaseRepresentation
bin1101100100011…
…11000111110000
321221012021202000
412302033013300
5213120114212
615143454000
72551362660
oct662170760
9257167660
10113832432
1159289a9a
1232157300
131a77788c
14111921a0
159ed81dc
hex6c8f1f0

113832432 has 80 divisors (see below), whose sum is σ = 373428480. Its totient is φ = 32522688.

The previous prime is 113832427. The next prime is 113832463. The reversal of 113832432 is 234238311.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 113832396 and 113832405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15798 + ... + 21845.

It is an arithmetic number, because the mean of its divisors is an integer number (4667856).

Almost surely, 2113832432 is an apocalyptic number.

113832432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113832432 is an abundant number, since it is smaller than the sum of its proper divisors (259596048).

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

113832432 is a wasteful number, since it uses less digits than its factorization.

113832432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37667 (or 37655 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 113832432 is about 10669.2282757470. The cubic root of 113832432 is about 484.6430675273.

The spelling of 113832432 in words is "one hundred thirteen million, eight hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 37643 75286 112929 150572 225858 263501 301144 338787 451716 527002 602288 677574 790503 903432 1016361 1054004 1355148 1581006 1806864 2032722 2108008 2371509 2710296 3162012 4065444 4216016 4743018 5420592 6324024 7114527 8130888 9486036 12648048 14229054 16261776 18972072 28458108 37944144 56916216 113832432