Search a number
-
+
113320620 = 2235573331
BaseRepresentation
bin1101100000100…
…10001010101100
321220020021200000
412300102022230
5213002224440
615124504300
72544131550
oct660221254
9256207600
10113320620
1158a6a506
1231b4b090
131a62892a
141109b860
159e36730
hex6c122ac

113320620 has 144 divisors (see below), whose sum is σ = 407516928. Its totient is φ = 25894080.

The previous prime is 113320577. The next prime is 113320637. The reversal of 113320620 is 26023311.

113320620 is a `hidden beast` number, since 1 + 13 + 32 + 0 + 620 = 666.

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 = 113320593 and 113320602.

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 47 ways as a sum of consecutive naturals, for example, 32355 + ... + 35685.

Almost surely, 2113320620 is an apocalyptic number.

113320620 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 113320620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203758464).

113320620 is an abundant number, since it is smaller than the sum of its proper divisors (294196308).

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

113320620 is a wasteful number, since it uses less digits than its factorization.

113320620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3348 counting only the distinct ones).

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

The square root of 113320620 is about 10645.2158268398. The cubic root of 113320620 is about 483.9156274392.

Adding to 113320620 its reverse (26023311), we get a palindrome (139343931).

The spelling of 113320620 in words is "one hundred thirteen million, three hundred twenty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3331 3402 3780 4860 5670 6662 6804 8505 9993 11340 13324 16655 17010 19986 23317 29979 33310 34020 39972 46634 49965 59958 66620 69951 89937 93268 99930 116585 119916 139902 149895 179874 199860 209853 233170 269811 279804 299790 349755 359748 419706 449685 466340 539622 599580 629559 699510 809433 839412 899370 1049265 1079244 1259118 1349055 1399020 1618866 1798740 1888677 2098530 2518236 2698110 3147795 3237732 3777354 4047165 4197060 5396220 5666031 6295590 7554708 8094330 9443385 11332062 12591180 16188660 18886770 22664124 28330155 37773540 56660310 113320620