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113821752 = 233112914867
BaseRepresentation
bin1101100100011…
…00100000111000
321221011202002110
412302030200320
5213114244002
615143332320
72551316562
oct662144070
9257152073
10113821752
1159281a70
12321510a0
131a772a65
141118c332
159ed4e6c
hex6c8c838

113821752 has 64 divisors (see below), whose sum is σ = 321148800. Its totient is φ = 33299840.

The previous prime is 113821727. The next prime is 113821753. The reversal of 113821752 is 257128311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113821753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223 + ... + 15089.

It is an arithmetic number, because the mean of its divisors is an integer number (5017950).

Almost surely, 2113821752 is an apocalyptic number.

113821752 is a gapful number since it is divisible by the number (12) 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 113821752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160574400).

113821752 is an abundant number, since it is smaller than the sum of its proper divisors (207327048).

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

113821752 is a wasteful number, since it uses less digits than its factorization.

113821752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14916 (or 14912 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 113821752 is about 10668.7277592035. The cubic root of 113821752 is about 484.6279103067.

The spelling of 113821752 in words is "one hundred thirteen million, eight hundred twenty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 14867 29734 44601 59468 89202 118936 163537 178404 327074 356808 431143 490611 654148 862286 981222 1293429 1308296 1724572 1962444 2586858 3449144 3924888 4742573 5173716 9485146 10347432 14227719 18970292 28455438 37940584 56910876 113821752