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112275140 = 22517714651
BaseRepresentation
bin1101011000100…
…10111011000100
321211021011112112
412230102323010
5212220301030
615050240152
72532215525
oct654227304
9254234475
10112275140
1158415a7a
1231726058
131a350ac3
1410ca884c
159ccba95
hex6b12ec4

112275140 has 48 divisors (see below), whose sum is σ = 253217664. Its totient is φ = 41664000.

The previous prime is 112275127. The next prime is 112275169. The reversal of 112275140 is 41572211.

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 15 ways as a sum of consecutive naturals, for example, 21815 + ... + 26465.

It is an arithmetic number, because the mean of its divisors is an integer number (5275368).

Almost surely, 2112275140 is an apocalyptic number.

112275140 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 112275140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126608832).

112275140 is an abundant number, since it is smaller than the sum of its proper divisors (140942524).

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

112275140 is a wasteful number, since it uses less digits than its factorization.

112275140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 112275140 is about 10595.9964137404. The cubic root of 112275140 is about 482.4228482331.

The spelling of 112275140 in words is "one hundred twelve million, two hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4651 4828 6035 9302 12070 18604 23255 24140 46510 79067 93020 158134 316268 330221 395335 660442 790670 1320884 1581340 1651105 3302210 5613757 6604420 11227514 22455028 28068785 56137570 112275140