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112242340 = 22572532161
BaseRepresentation
bin1101011000010…
…10111010100100
321211012111112201
412230022322210
5212213223330
615045424244
72532021100
oct654127244
9254174481
10112242340
11583a3371
123170b084
131a33bbb2
1410c9a900
159cc1eca
hex6b0aea4

112242340 has 72 divisors (see below), whose sum is σ = 279494712. Its totient is φ = 37739520.

The previous prime is 112242337. The next prime is 112242373. The reversal of 112242340 is 43242211.

It can be written as a sum of positive squares in 4 ways, for example, as 25826724 + 86415616 = 5082^2 + 9296^2 .

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 23 ways as a sum of consecutive naturals, for example, 50860 + ... + 53020.

It is an arithmetic number, because the mean of its divisors is an integer number (3881871).

Almost surely, 2112242340 is an apocalyptic number.

112242340 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 112242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139747356).

112242340 is an abundant number, since it is smaller than the sum of its proper divisors (167252372).

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

112242340 is a wasteful number, since it uses less digits than its factorization.

112242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 112242340 is about 10594.4485462906. The cubic root of 112242340 is about 482.3758654057.

Adding to 112242340 its reverse (43242211), we get a palindrome (155484551).

The spelling of 112242340 in words is "one hundred twelve million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1855 2161 2597 3710 4322 5194 7420 8644 10388 10805 12985 15127 21610 25970 30254 43220 51940 60508 75635 105889 114533 151270 211778 229066 302540 423556 458132 529445 572665 801731 1058890 1145330 1603462 2117780 2290660 3206924 4008655 5612117 8017310 11224234 16034620 22448468 28060585 56121170 112242340