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113058720 = 2533526171
BaseRepresentation
bin1101011110100…
…10001110100000
321212201222102000
412233102032200
5212420334340
615115124000
72541661155
oct657221640
9255658360
10113058720
1158900765
1231a43600
131a566668
141103022c
159dd3d30
hex6bd23a0

113058720 has 96 divisors (see below), whose sum is σ = 395720640. Its totient is φ = 30147840.

The previous prime is 113058679. The next prime is 113058779. The reversal of 113058720 is 27850311.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 8766 + ... + 17405.

It is an arithmetic number, because the mean of its divisors is an integer number (4122090).

Almost surely, 2113058720 is an apocalyptic number.

113058720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113058720 is an abundant number, since it is smaller than the sum of its proper divisors (282661920).

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

113058720 is a wasteful number, since it uses less digits than its factorization.

113058720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26195 (or 26181 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 113058720 is about 10632.9074104875. The cubic root of 113058720 is about 483.5425406921.

The spelling of 113058720 in words is "one hundred thirteen million, fifty-eight thousand, seven 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 26171 52342 78513 104684 130855 157026 209368 235539 261710 314052 392565 418736 471078 523420 628104 706617 785130 837472 942156 1046840 1177695 1256208 1413234 1570260 1884312 2093680 2355390 2512416 2826468 3140520 3533085 3768624 4187360 4710780 5652936 6281040 7066170 7537248 9421560 11305872 12562080 14132340 18843120 22611744 28264680 37686240 56529360 113058720