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112314090 = 23571134733
BaseRepresentation
bin1101011000111…
…00011011101010
321211100010222010
412230130123222
5212223022330
615051140350
72532440220
oct654343352
9254303863
10112314090
1158442269
12317446b6
131a365755
1410cb8b10
159cd83b0
hex6b1c6ea

112314090 has 64 divisors (see below), whose sum is σ = 310853376. Its totient is φ = 25439232.

The previous prime is 112314061. The next prime is 112314091. The reversal of 112314090 is 90413211.

It is a super-2 number, since 2×1123140902 = 25228909625056200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (112314091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21364 + ... + 26096.

It is an arithmetic number, because the mean of its divisors is an integer number (4857084).

Almost surely, 2112314090 is an apocalyptic number.

112314090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112314090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155426688).

112314090 is an abundant number, since it is smaller than the sum of its proper divisors (198539286).

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

112314090 is a wasteful number, since it uses less digits than its factorization.

112314090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 112314090 is about 10597.8342127059. The cubic root of 112314090 is about 482.4786284573.

The spelling of 112314090 in words is "one hundred twelve million, three hundred fourteen thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 565 678 791 1130 1582 1695 2373 3390 3955 4733 4746 7910 9466 11865 14199 23665 23730 28398 33131 47330 66262 70995 99393 141990 165655 198786 331310 496965 534829 993930 1069658 1604487 2674145 3208974 3743803 5348290 7487606 8022435 11231409 16044870 18719015 22462818 37438030 56157045 112314090