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113413140 = 223253717029
BaseRepresentation
bin1101100001010…
…00110000010100
321220101222120200
412300220300110
5213013210030
615130500500
72544665361
oct660506024
9256358520
10113413140
1159022a75
1231b94730
131a65ba89
14110c3468
159e53d60
hex6c28c14

113413140 has 72 divisors (see below), whose sum is σ = 353338440. Its totient is φ = 29424384.

The previous prime is 113413129. The next prime is 113413141. The reversal of 113413140 is 41314311.

113413140 is a `hidden beast` number, since 11 + 341 + 314 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48191364 + 65221776 = 6942^2 + 8076^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113413141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1855 + ... + 15174.

Almost surely, 2113413140 is an apocalyptic number.

113413140 is a gapful number since it is divisible by the number (10) 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 113413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176669220).

113413140 is an abundant number, since it is smaller than the sum of its proper divisors (239925300).

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

113413140 is a wasteful number, since it uses less digits than its factorization.

113413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17081 (or 17076 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113413140 is about 10649.5605543140. The cubic root of 113413140 is about 484.0472883696.

Adding to 113413140 its reverse (41314311), we get a palindrome (154727451).

The spelling of 113413140 in words is "one hundred thirteen million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 17029 34058 51087 68116 85145 102174 153261 170290 204348 255435 306522 340580 510870 613044 630073 766305 1021740 1260146 1532610 1890219 2520292 3065220 3150365 3780438 5670657 6300730 7560876 9451095 11341314 12601460 18902190 22682628 28353285 37804380 56706570 113413140