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113435296 = 2513367743
BaseRepresentation
bin1101100001011…
…10001010100000
321220110002222021
412300232022200
5213014412141
615131151224
72545120102
oct660561240
9256402867
10113435296
1159038687
1231ba5514
131a668ba0
14110cb572
159e5a6d1
hex6c2e2a0

113435296 has 48 divisors (see below), whose sum is σ = 241484544. Its totient is φ = 52141824.

The previous prime is 113435291. The next prime is 113435297. The reversal of 113435296 is 692534311.

It is not an unprimeable number, because it can be changed into a prime (113435291) 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 7 ways as a sum of consecutive naturals, for example, 152301 + ... + 153043.

It is an arithmetic number, because the mean of its divisors is an integer number (5030928).

Almost surely, 2113435296 is an apocalyptic number.

113435296 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 113435296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120742272).

113435296 is an abundant number, since it is smaller than the sum of its proper divisors (128049248).

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

113435296 is a wasteful number, since it uses less digits than its factorization.

113435296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1125 counting only the distinct ones).

The product of its digits is 19440, while the sum is 34.

The square root of 113435296 is about 10650.6007342309. The cubic root of 113435296 is about 484.0788069204.

The spelling of 113435296 in words is "one hundred thirteen million, four hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 367 416 734 743 1468 1486 2936 2972 4771 5872 5944 9542 9659 11744 11888 19084 19318 23776 38168 38636 76336 77272 152672 154544 272681 309088 545362 1090724 2181448 3544853 4362896 7089706 8725792 14179412 28358824 56717648 113435296