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113820336 = 24337219283
BaseRepresentation
bin1101100100011…
…00001010110000
321221011200011000
412302030022300
5213114222321
615143322000
72551312500
oct662141260
9257150130
10113820336
11592809a3
1232150300
131a772216
141118ba00
159ed4826
hex6c8c2b0

113820336 has 240 divisors, whose sum is σ = 401462400. Its totient is φ = 30699648.

The previous prime is 113820293. The next prime is 113820341. The reversal of 113820336 is 633028311.

It is a happy number.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 402051 + ... + 402333.

It is an arithmetic number, because the mean of its divisors is an integer number (1672760).

Almost surely, 2113820336 is an apocalyptic number.

113820336 is a gapful number since it is divisible by the number (16) 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 113820336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200731200).

113820336 is an abundant number, since it is smaller than the sum of its proper divisors (287642064).

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

113820336 is a wasteful number, since it uses less digits than its factorization.

113820336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 113820336 is about 10668.6613968201. The cubic root of 113820336 is about 484.6259006265.

Adding to 113820336 its reverse (633028311), we get a palindrome (746848647).

The spelling of 113820336 in words is "one hundred thirteen million, eight hundred twenty thousand, three hundred thirty-six".