Search a number
-
+
113715888 = 243111316567
BaseRepresentation
bin1101100011100…
…10101010110000
321220222100212120
412301302222300
5213102402023
615141154240
72550366126
oct661625260
9256870776
10113715888
115920a480
12320bb980
131a736810
1411161916
159eb38e3
hex6c72ab0

113715888 has 80 divisors (see below), whose sum is σ = 345144576. Its totient is φ = 31806720.

The previous prime is 113715881. The next prime is 113715929. The reversal of 113715888 is 888517311.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (113715881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1420 + ... + 15147.

Almost surely, 2113715888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113715888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172572288).

113715888 is an abundant number, since it is smaller than the sum of its proper divisors (231428688).

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

113715888 is a wasteful number, since it uses less digits than its factorization.

113715888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16602 (or 16596 counting only the distinct ones).

The product of its digits is 53760, while the sum is 42.

The square root of 113715888 is about 10663.7651887127. The cubic root of 113715888 is about 484.4776151820.

The spelling of 113715888 in words is "one hundred thirteen million, seven hundred fifteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 16567 33134 49701 66268 99402 132536 182237 198804 215371 265072 364474 397608 430742 546711 646113 728948 795216 861484 1093422 1292226 1457896 1722968 2186844 2369081 2584452 2915792 3445936 4373688 4738162 5168904 7107243 8747376 9476324 10337808 14214486 18952648 28428972 37905296 56857944 113715888