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113804280 = 23325973259
BaseRepresentation
bin1101100100010…
…00001111111000
321221010212010100
412302020033320
5213113214110
615143115400
72551214622
oct662101770
9257125110
10113804280
115926a927
1232142b60
131a767b15
1411185c12
159ecebc0
hex6c883f8

113804280 has 96 divisors (see below), whose sum is σ = 373791600. Its totient is φ = 30025728.

The previous prime is 113804279. The next prime is 113804311. The reversal of 113804280 is 82408311.

113804280 is a `hidden beast` number, since 1 + 1 + 380 + 4 + 280 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33291 + ... + 36549.

Almost surely, 2113804280 is an apocalyptic number.

113804280 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 113804280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186895800).

113804280 is an abundant number, since it is smaller than the sum of its proper divisors (259987320).

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

113804280 is a wasteful number, since it uses less digits than its factorization.

113804280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 113804280 is about 10667.9088860001. The cubic root of 113804280 is about 484.6031117306.

The spelling of 113804280 in words is "one hundred thirteen million, eight hundred four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2910 3259 3492 3880 4365 5820 6518 6984 8730 9777 11640 13036 16295 17460 19554 26072 29331 32590 34920 39108 48885 58662 65180 78216 97770 117324 130360 146655 195540 234648 293310 316123 391080 586620 632246 948369 1173240 1264492 1580615 1896738 2528984 2845107 3161230 3793476 4741845 5690214 6322460 7586952 9483690 11380428 12644920 14225535 18967380 22760856 28451070 37934760 56902140 113804280