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113175040 = 295114019
BaseRepresentation
bin1101011111011…
…10101000000000
321212221212222011
412233232220000
5212433100130
615121422304
72542654246
oct657565000
9255855864
10113175040
11589800a0
1231a9a994
131a5a75a4
1411060796
159e0852a
hex6beea00

113175040 has 80 divisors (see below), whose sum is σ = 296097120. Its totient is φ = 41144320.

The previous prime is 113175031. The next prime is 113175053. The reversal of 113175040 is 40571311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

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 7 ways as a sum of consecutive naturals, for example, 26151 + ... + 30169.

It is an arithmetic number, because the mean of its divisors is an integer number (3701214).

Almost surely, 2113175040 is an apocalyptic number.

113175040 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 113175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148048560).

113175040 is an abundant number, since it is smaller than the sum of its proper divisors (182922080).

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

113175040 is an equidigital number, since it uses as much as digits as its factorization.

113175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 113175040 is about 10638.3758158847. The cubic root of 113175040 is about 483.7083141061.

The spelling of 113175040 in words is "one hundred thirteen million, one hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 4019 5632 7040 8038 14080 16076 20095 28160 32152 40190 44209 64304 80380 88418 128608 160760 176836 221045 257216 321520 353672 442090 514432 643040 707344 884180 1028864 1286080 1414688 1768360 2057728 2572160 2829376 3536720 5144320 5658752 7073440 10288640 11317504 14146880 22635008 28293760 56587520 113175040