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112821140 = 22537152461
BaseRepresentation
bin1101011100110…
…00001110010100
321212021220111202
412232120032110
5212340234030
615110052032
72536651415
oct656301624
9255256452
10112821140
1158759213
123194a018
131a4b2493
1410dab80c
159d88745
hex6b98394

112821140 has 24 divisors (see below), whose sum is σ = 243329352. Its totient is φ = 43908480.

The previous prime is 112821139. The next prime is 112821167. The reversal of 112821140 is 41128211.

It can be written as a sum of positive squares in 4 ways, for example, as 68492176 + 44328964 = 8276^2 + 6658^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 75491 + ... + 76970.

It is an arithmetic number, because the mean of its divisors is an integer number (10138723).

Almost surely, 2112821140 is an apocalyptic number.

112821140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112821140 is an abundant number, since it is smaller than the sum of its proper divisors (130508212).

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

112821140 is a wasteful number, since it uses less digits than its factorization.

112821140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152507 (or 152505 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 112821140 is about 10621.7296143331. The cubic root of 112821140 is about 483.2036000072.

Adding to 112821140 its reverse (41128211), we get a palindrome (153949351).

The spelling of 112821140 in words is "one hundred twelve million, eight hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 152461 304922 609844 762305 1524610 3049220 5641057 11282114 22564228 28205285 56410570 112821140