Search a number
-
+
113065344 = 2732722003
BaseRepresentation
bin1101011110100…
…11110110000000
321212202022111100
412233103312000
5212421042334
615115214400
72542016400
oct657236600
9255668440
10113065344
1158905737
1231a47400
131a569692
1411032800
159dd5c99
hex6bd3d80

113065344 has 144 divisors (see below), whose sum is σ = 378665820. Its totient is φ = 32288256.

The previous prime is 113065343. The next prime is 113065357. The reversal of 113065344 is 443560311.

113065344 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 653 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113065343) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55447 + ... + 57449.

Almost surely, 2113065344 is an apocalyptic number.

113065344 is a gapful number since it is divisible by the number (14) 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 113065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189332910).

113065344 is an abundant number, since it is smaller than the sum of its proper divisors (265600476).

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

113065344 is a wasteful number, since it uses less digits than its factorization.

113065344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 113065344 is about 10633.2188917562. The cubic root of 113065344 is about 483.5519839361.

The spelling of 113065344 in words is "one hundred thirteen million, sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2003 2016 2352 2688 3136 3528 4006 4032 4704 6009 6272 7056 8012 8064 9408 12018 14021 14112 16024 18027 18816 24036 28042 28224 32048 36054 42063 48072 56084 56448 64096 72108 84126 96144 98147 112168 126189 128192 144216 168252 192288 196294 224336 252378 256384 288432 294441 336504 384576 392588 448672 504756 576864 588882 673008 769152 785176 883323 897344 1009512 1153728 1177764 1346016 1570352 1766646 1794688 2019024 2307456 2355528 2692032 3140704 3533292 4038048 4711056 5384064 6281408 7066584 8076096 9422112 12562816 14133168 16152192 18844224 28266336 37688448 56532672 113065344