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113413040 = 24513167653
BaseRepresentation
bin1101100001010…
…00101110110000
321220101222102222
412300220232300
5213013204130
615130500212
72544665156
oct660505660
9256358388
10113413040
1159022994
1231b94668
131a65ba10
14110c33d6
159e53ce5
hex6c28bb0

113413040 has 80 divisors (see below), whose sum is σ = 286106688. Its totient is φ = 41561088.

The previous prime is 113413039. The next prime is 113413043. The reversal of 113413040 is 40314311.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (113413043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173354 + ... + 174006.

Almost surely, 2113413040 is an apocalyptic number.

113413040 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 113413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143053344).

113413040 is an abundant number, since it is smaller than the sum of its proper divisors (172693648).

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

113413040 is a wasteful number, since it uses less digits than its factorization.

113413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 113413040 is about 10649.5558592835. Note that the first 3 decimals coincide. The cubic root of 113413040 is about 484.0471461029.

Adding to 113413040 its reverse (40314311), we get a palindrome (153727351).

The spelling of 113413040 in words is "one hundred thirteen million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 167 208 260 334 520 653 668 835 1040 1306 1336 1670 2171 2612 2672 3265 3340 4342 5224 6530 6680 8489 8684 10448 10855 13060 13360 16978 17368 21710 26120 33956 34736 42445 43420 52240 67912 84890 86840 109051 135824 169780 173680 218102 339560 436204 545255 679120 872408 1090510 1417663 1744816 2181020 2835326 4362040 5670652 7088315 8724080 11341304 14176630 22682608 28353260 56706520 113413040