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112773240 = 233251718427
BaseRepresentation
bin1101011100011…
…00100001111000
321212012110210200
412232030201320
5212332220430
615105042200
72536361646
oct656144170
9255173720
10112773240
1158726228
1231926360
131a496738
1410d98196
159d79460
hex6b8c878

112773240 has 96 divisors (see below), whose sum is σ = 388093680. Its totient is φ = 28302336.

The previous prime is 112773239. The next prime is 112773251. The reversal of 112773240 is 42377211.

It is a happy number.

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, 3094 + ... + 15333.

Almost surely, 2112773240 is an apocalyptic number.

112773240 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 112773240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194046840).

112773240 is an abundant number, since it is smaller than the sum of its proper divisors (275320440).

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

112773240 is a wasteful number, since it uses less digits than its factorization.

112773240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18461 (or 18454 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 112773240 is about 10619.4745632729. The cubic root of 112773240 is about 483.1352064159.

The spelling of 112773240 in words is "one hundred twelve million, seven hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 18427 36854 55281 73708 92135 110562 147416 165843 184270 221124 276405 313259 331686 368540 442248 552810 626518 663372 737080 829215 939777 1105620 1253036 1326744 1566295 1658430 1879554 2211240 2506072 2819331 3132590 3316860 3759108 4698885 5638662 6265180 6633720 7518216 9397770 11277324 12530360 14096655 18795540 22554648 28193310 37591080 56386620 112773240