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112363920 = 24325156061
BaseRepresentation
bin1101011001010…
…00100110010000
321211102200022200
412230220212100
5212231121140
615052203200
72533035414
oct654504620
9254380280
10112363920
1158476749
1231769500
131a382336
1410cccd44
159ce8030
hex6b28990

112363920 has 60 divisors (see below), whose sum is σ = 377357916. Its totient is φ = 29963520.

The previous prime is 112363873. The next prime is 112363939. The reversal of 112363920 is 29363211.

112363920 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 639 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 23853456 = 9408^2 + 4884^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77311 + ... + 78750.

Almost surely, 2112363920 is an apocalyptic number.

112363920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112363920 is an abundant number, since it is smaller than the sum of its proper divisors (264993996).

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

112363920 is a wasteful number, since it uses less digits than its factorization.

112363920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156080 (or 156071 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 112363920 is about 10600.1849040477. The cubic root of 112363920 is about 482.5499711102.

The spelling of 112363920 in words is "one hundred twelve million, three hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 156061 312122 468183 624244 780305 936366 1248488 1404549 1560610 1872732 2340915 2496976 2809098 3121220 3745464 4681830 5618196 6242440 7022745 7490928 9363660 11236392 12484880 14045490 18727320 22472784 28090980 37454640 56181960 112363920