Search a number
-
+
113341320 = 233251492113
BaseRepresentation
bin1101100000101…
…11001110001000
321220021100001200
412300113032020
5213003410240
615125144200
72544246111
oct660271610
9256240050
10113341320
1158a84014
1231b5b060
131a635191
14110a5208
159e3c930
hex6c17388

113341320 has 96 divisors (see below), whose sum is σ = 371007000. Its totient is φ = 30007296.

The previous prime is 113341313. The next prime is 113341321. The reversal of 113341320 is 23143311.

113341320 is a `hidden beast` number, since 1 + 1 + 3 + 341 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27185796 + 86155524 = 5214^2 + 9282^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 113341293 and 113341302.

It is not an unprimeable number, because it can be changed into a prime (113341321) 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, 52584 + ... + 54696.

Almost surely, 2113341320 is an apocalyptic number.

113341320 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 113341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185503500).

113341320 is an abundant number, since it is smaller than the sum of its proper divisors (257665680).

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

113341320 is a wasteful number, since it uses less digits than its factorization.

113341320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 113341320 is about 10646.1880501896. The cubic root of 113341320 is about 483.9450908726.

Adding to 113341320 its reverse (23143311), we get a palindrome (136484631).

The spelling of 113341320 in words is "one hundred thirteen million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 447 596 745 894 1192 1341 1490 1788 2113 2235 2682 2980 3576 4226 4470 5364 5960 6339 6705 8452 8940 10565 10728 12678 13410 16904 17880 19017 21130 25356 26820 31695 38034 42260 50712 53640 63390 76068 84520 95085 126780 152136 190170 253560 314837 380340 629674 760680 944511 1259348 1574185 1889022 2518696 2833533 3148370 3778044 4722555 5667066 6296740 7556088 9445110 11334132 12593480 14167665 18890220 22668264 28335330 37780440 56670660 113341320