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113320240 = 24511131983
BaseRepresentation
bin1101100000100…
…10000100110000
321220020021010221
412300102010300
5213002221430
615124502424
72544130465
oct660220460
9256207127
10113320240
1158a6a1a0
1231b4aa14
131a6286c7
141109b66c
159e3657a
hex6c12130

113320240 has 80 divisors (see below), whose sum is σ = 289910016. Its totient is φ = 40851200.

The previous prime is 113320231. The next prime is 113320247. The reversal of 113320240 is 42023311.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113320247) 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, 114789 + ... + 115771.

Almost surely, 2113320240 is an apocalyptic number.

113320240 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 113320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144955008).

113320240 is an abundant number, since it is smaller than the sum of its proper divisors (176589776).

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

113320240 is a wasteful number, since it uses less digits than its factorization.

113320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 113320240 is about 10645.1979784314. The cubic root of 113320240 is about 483.9150865311.

Adding to 113320240 its reverse (42023311), we get a palindrome (155343551).

The spelling of 113320240 in words is "one hundred thirteen million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 131 176 220 262 440 524 655 880 983 1048 1310 1441 1966 2096 2620 2882 3932 4915 5240 5764 7205 7864 9830 10480 10813 11528 14410 15728 19660 21626 23056 28820 39320 43252 54065 57640 78640 86504 108130 115280 128773 173008 216260 257546 432520 515092 643865 865040 1030184 1287730 1416503 2060368 2575460 2833006 5150920 5666012 7082515 10301840 11332024 14165030 22664048 28330060 56660120 113320240