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112990000 = 245411299
BaseRepresentation
bin1101011110000…
…01011100110000
321212121111010211
412233001130300
5212411140000
615113433504
72541253624
oct657013460
9255544124
10112990000
1158864072
1231a0b894
131a5412b6
1411013184
159dbd7ba
hex6bc1730

112990000 has 50 divisors (see below), whose sum is σ = 273584300. Its totient is φ = 45192000.

The previous prime is 112989983. The next prime is 112990027. The reversal of 112990000 is 99211.

It is a tau number, because it is divible by the number of its divisors (50).

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 9 ways as a sum of consecutive naturals, for example, 4351 + ... + 15649.

It is an arithmetic number, because the mean of its divisors is an integer number (5471686).

Almost surely, 2112990000 is an apocalyptic number.

112990000 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 112990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136792150).

112990000 is an abundant number, since it is smaller than the sum of its proper divisors (160594300).

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

112990000 is an equidigital number, since it uses as much as digits as its factorization.

112990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11327 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 112990000 is about 10629.6754418938. The cubic root of 112990000 is about 483.4445509685. Note that the first 3 decimals are identical.

The spelling of 112990000 in words is "one hundred twelve million, nine hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 11299 22598 45196 56495 90392 112990 180784 225980 282475 451960 564950 903920 1129900 1412375 2259800 2824750 4519600 5649500 7061875 11299000 14123750 22598000 28247500 56495000 112990000