Search a number
-
+
113411136 = 263797477
BaseRepresentation
bin1101100001010…
…00010001000000
321220101212211110
412300220101000
5213013124021
615130443320
72544656466
oct660502100
9256355743
10113411136
1159021513
1231b93540
131a65aba7
14110c2836
159e53476
hex6c28440

113411136 has 56 divisors (see below), whose sum is σ = 303905920. Its totient is φ = 37320192.

The previous prime is 113411107. The next prime is 113411143. The reversal of 113411136 is 631114311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11430 + ... + 18906.

Almost surely, 2113411136 is an apocalyptic number.

113411136 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 113411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151952960).

113411136 is an abundant number, since it is smaller than the sum of its proper divisors (190494784).

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

113411136 is an equidigital number, since it uses as much as digits as its factorization.

113411136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7561 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 113411136 is about 10649.4664655090. The cubic root of 113411136 is about 484.0444373288.

Adding to 113411136 its reverse (631114311), we get a palindrome (744525447).

The spelling of 113411136 in words is "one hundred thirteen million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 7477 7584 14954 15168 22431 29908 44862 59816 89724 119632 179448 239264 358896 478528 590683 717792 1181366 1435584 1772049 2362732 3544098 4725464 7088196 9450928 14176392 18901856 28352784 37803712 56705568 113411136