Search a number
-
+
113404320 = 2533526251
BaseRepresentation
bin1101100001001…
…10100110100000
321220101112111000
412300212212200
5213012414240
615130352000
72544630561
oct660464640
9256345430
10113404320
1159017387
1231b8b600
131a657a63
14110c0168
159e51430
hex6c269a0

113404320 has 96 divisors (see below), whose sum is σ = 396930240. Its totient is φ = 30240000.

The previous prime is 113404303. The next prime is 113404327. The reversal of 113404320 is 23404311.

113404320 is a `hidden beast` number, since 1 + 1 + 340 + 4 + 320 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 113404293 and 113404302.

It is not an unprimeable number, because it can be changed into a prime (113404327) by changing a digit.

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, 8806 + ... + 17445.

It is an arithmetic number, because the mean of its divisors is an integer number (4134690).

Almost surely, 2113404320 is an apocalyptic number.

113404320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113404320 is an abundant number, since it is smaller than the sum of its proper divisors (283525920).

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

113404320 is a wasteful number, since it uses less digits than its factorization.

113404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26275 (or 26261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113404320 is about 10649.1464446687. The cubic root of 113404320 is about 484.0347401242.

Adding to 113404320 its reverse (23404311), we get a palindrome (136808631).

Subtracting from 113404320 its reverse (23404311), we obtain a palindrome (90000009).

The spelling of 113404320 in words is "one hundred thirteen million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 26251 52502 78753 105004 131255 157506 210008 236259 262510 315012 393765 420016 472518 525020 630024 708777 787530 840032 945036 1050040 1181295 1260048 1417554 1575060 1890072 2100080 2362590 2520096 2835108 3150120 3543885 3780144 4200160 4725180 5670216 6300240 7087770 7560288 9450360 11340432 12600480 14175540 18900720 22680864 28351080 37801440 56702160 113404320