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113045760 = 283353271
BaseRepresentation
bin1101011110011…
…11000100000000
321212201022122000
412233033010000
5212414431020
615114544000
72541605322
oct657170400
9255638560
10113045760
11588a1a53
1231a38000
131a5607a9
1411029612
159dd0090
hex6bcf100

113045760 has 144 divisors (see below), whose sum is σ = 401278080. Its totient is φ = 30136320.

The previous prime is 113045717. The next prime is 113045771. The reversal of 113045760 is 67540311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1130457603 (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32925 + ... + 36195.

Almost surely, 2113045760 is an apocalyptic number.

113045760 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 113045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200639040).

113045760 is an abundant number, since it is smaller than the sum of its proper divisors (288232320).

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

113045760 is an equidigital number, since it uses as much as digits as its factorization.

113045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 113045760 is about 10632.2979642220. The cubic root of 113045760 is about 483.5240637131.

The spelling of 113045760 in words is "one hundred thirteen million, forty-five thousand, seven hundred sixty".

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 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3271 3456 3840 4320 5760 6542 6912 8640 9813 11520 13084 16355 17280 19626 26168 29439 32710 34560 39252 49065 52336 58878 65420 78504 88317 98130 104672 117756 130840 147195 157008 176634 196260 209344 235512 261680 294390 314016 353268 392520 418688 441585 471024 523360 588780 628032 706536 785040 837376 883170 942048 1046720 1177560 1256064 1413072 1570080 1766340 1884096 2093440 2355120 2512128 2826144 3140160 3532680 3768192 4186880 4710240 5652288 6280320 7065360 7536384 9420480 11304576 12560640 14130720 18840960 22609152 28261440 37681920 56522880 113045760