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112050720 = 2532577813
BaseRepresentation
bin1101010110111…
…00001000100000
321210211202200200
412223130020200
5212141110340
615041345200
72530262325
oct653341040
9253752620
10112050720
1158282401
1231638200
131a2a2902
1410c4ab4c
159c85330
hex6adc220

112050720 has 72 divisors (see below), whose sum is σ = 382377996. Its totient is φ = 29879808.

The previous prime is 112050707. The next prime is 112050767. The reversal of 112050720 is 27050211.

It can be written as a sum of positive squares in 2 ways, for example, as 105760656 + 6290064 = 10284^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112050693 and 112050702.

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, 37467 + ... + 40346.

Almost surely, 2112050720 is an apocalyptic number.

112050720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112050720 is an abundant number, since it is smaller than the sum of its proper divisors (270327276).

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

112050720 is a wasteful number, since it uses less digits than its factorization.

112050720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77834 (or 77823 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 112050720 is about 10585.4012677839. The cubic root of 112050720 is about 482.1012051967.

The spelling of 112050720 in words is "one hundred twelve million, fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 77813 155626 233439 311252 389065 466878 622504 700317 778130 933756 1167195 1245008 1400634 1556260 1867512 2334390 2490016 2801268 3112520 3501585 3735024 4668780 5602536 6225040 7003170 7470048 9337560 11205072 12450080 14006340 18675120 22410144 28012680 37350240 56025360 112050720