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112455620 = 22529414729
BaseRepresentation
bin1101011001111…
…10111111000100
321211121100002222
412230332333010
5212242034440
615054151512
72533566644
oct654767704
9254540088
10112455620
1158529632
12317b2598
131a3b4cb4
1410d14524
159d152b5
hex6b3efc4

112455620 has 48 divisors (see below), whose sum is σ = 250311600. Its totient is φ = 42362880.

The previous prime is 112455613. The next prime is 112455641. The reversal of 112455620 is 26554211.

It can be written as a sum of positive squares in 8 ways, for example, as 42432196 + 70023424 = 6514^2 + 8368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112455620.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21416 + ... + 26144.

It is an arithmetic number, because the mean of its divisors is an integer number (5214825).

Almost surely, 2112455620 is an apocalyptic number.

112455620 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 112455620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125155800).

112455620 is an abundant number, since it is smaller than the sum of its proper divisors (137855980).

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

112455620 is a wasteful number, since it uses less digits than its factorization.

112455620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 112455620 is about 10604.5094181673. The cubic root of 112455620 is about 482.6812048146.

The spelling of 112455620 in words is "one hundred twelve million, four hundred fifty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 4729 4756 5945 9458 11890 18916 23645 23780 47290 94580 137141 193889 274282 387778 548564 685705 775556 969445 1371410 1938890 2742820 3877780 5622781 11245562 22491124 28113905 56227810 112455620