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113500320 = 25351791321
BaseRepresentation
bin1101100001111…
…10000010100000
321220120102011120
412300332002200
5213024002240
615132412240
72545510503
oct660760240
9256512146
10113500320
115908251a
1232017080
131a68c66b
141110713a
159e6ead0
hex6c3e0a0

113500320 has 96 divisors (see below), whose sum is σ = 359795520. Its totient is φ = 30074880.

The previous prime is 113500307. The next prime is 113500339. The reversal of 113500320 is 23005311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113500320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85260 + ... + 86580.

It is an arithmetic number, because the mean of its divisors is an integer number (3747870).

Almost surely, 2113500320 is an apocalyptic number.

113500320 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 113500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179897760).

113500320 is an abundant number, since it is smaller than the sum of its proper divisors (246295200).

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

113500320 is a wasteful number, since it uses less digits than its factorization.

113500320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 113500320 is about 10653.6528946648. The cubic root of 113500320 is about 484.1712846851.

Adding to 113500320 its reverse (23005311), we get a palindrome (136505631).

The spelling of 113500320 in words is "one hundred thirteen million, five hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 179 240 358 480 537 716 895 1074 1321 1432 1790 2148 2642 2685 2864 3580 3963 4296 5284 5370 5728 6605 7160 7926 8592 10568 10740 13210 14320 15852 17184 19815 21136 21480 26420 28640 31704 39630 42272 42960 52840 63408 79260 85920 105680 126816 158520 211360 236459 317040 472918 634080 709377 945836 1182295 1418754 1891672 2364590 2837508 3546885 3783344 4729180 5675016 7093770 7566688 9458360 11350032 14187540 18916720 22700064 28375080 37833440 56750160 113500320