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113053320 = 233653877
BaseRepresentation
bin1101011110100…
…00111010001000
321212201201000000
412233100322020
5212420201240
615115043000
72541636342
oct657207210
9255651000
10113053320
11588a76a6
1231a40460
131a564073
141102c292
159dd2430
hex6bd0e88

113053320 has 112 divisors (see below), whose sum is σ = 381478860. Its totient is φ = 30139776.

The previous prime is 113053319. The next prime is 113053327. The reversal of 113053320 is 23350311.

113053320 is a `hidden beast` number, since 1 + 130 + 533 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108618084 + 4435236 = 10422^2 + 2106^2 .

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 = 113053293 and 113053302.

It is not an unprimeable number, because it can be changed into a prime (113053327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27222 + ... + 31098.

Almost surely, 2113053320 is an apocalyptic number.

113053320 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 113053320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190739430).

113053320 is an abundant number, since it is smaller than the sum of its proper divisors (268425540).

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

113053320 is an equidigital number, since it uses as much as digits as its factorization.

113053320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 113053320 is about 10632.6534787888. The cubic root of 113053320 is about 483.5348421225.

The spelling of 113053320 in words is "one hundred thirteen million, fifty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 3877 4860 5832 7290 7754 9720 11631 14580 15508 19385 23262 29160 31016 34893 38770 46524 58155 69786 77540 93048 104679 116310 139572 155080 174465 209358 232620 279144 314037 348930 418716 465240 523395 628074 697860 837432 942111 1046790 1256148 1395720 1570185 1884222 2093580 2512296 2826333 3140370 3768444 4187160 4710555 5652666 6280740 7536888 9421110 11305332 12561480 14131665 18842220 22610664 28263330 37684440 56526660 113053320