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113442144 = 2533138119
BaseRepresentation
bin1101100001011…
…11110101100000
321220110110100220
412300233311200
5213020122034
615131243040
72545146054
oct660576540
9256413326
10113442144
1159042842
1231ba9480
131a66c03a
14110cdc64
159e5c749
hex6c2fd60

113442144 has 48 divisors (see below), whose sum is σ = 307399680. Its totient is φ = 36593280.

The previous prime is 113442143. The next prime is 113442151. The reversal of 113442144 is 441244311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113442143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16084 + ... + 22035.

It is an arithmetic number, because the mean of its divisors is an integer number (6404160).

Almost surely, 2113442144 is an apocalyptic number.

It is an amenable number.

113442144 is an abundant number, since it is smaller than the sum of its proper divisors (193957536).

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

113442144 is a wasteful number, since it uses less digits than its factorization.

113442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38163 (or 38155 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 113442144 is about 10650.9222135926. The cubic root of 113442144 is about 484.0885478772.

Adding to 113442144 its reverse (441244311), we get a palindrome (554686455).

The spelling of 113442144 in words is "one hundred thirteen million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 38119 76238 114357 152476 228714 304952 457428 609904 914856 1181689 1219808 1829712 2363378 3545067 3659424 4726756 7090134 9453512 14180268 18907024 28360536 37814048 56721072 113442144