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112433440 = 2557214341
BaseRepresentation
bin1101011001110…
…01100100100000
321211120012200111
412230321210200
5212240332230
615053501104
72533445200
oct654714440
9254505614
10112433440
11585139a9
12317a1794
131a3a7b82
1410d0a400
159d0d92a
hex6b39920

112433440 has 72 divisors (see below), whose sum is σ = 309012732. Its totient is φ = 38545920.

The previous prime is 112433429. The next prime is 112433443. The reversal of 112433440 is 44334211.

It can be written as a sum of positive squares in 2 ways, for example, as 95491984 + 16941456 = 9772^2 + 4116^2 .

It is not an unprimeable number, because it can be changed into a prime (112433443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670 + ... + 15010.

Almost surely, 2112433440 is an apocalyptic number.

112433440 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 112433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154506366).

112433440 is an abundant number, since it is smaller than the sum of its proper divisors (196579292).

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

112433440 is a wasteful number, since it uses less digits than its factorization.

112433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14370 (or 14355 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 112433440 is about 10603.4635850745. The cubic root of 112433440 is about 482.6494691158.

Adding to 112433440 its reverse (44334211), we get a palindrome (156767651).

The spelling of 112433440 in words is "one hundred twelve million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 14341 28682 57364 71705 100387 114728 143410 200774 229456 286820 401548 458912 501935 573640 702709 803096 1003870 1147280 1405418 1606192 2007740 2294560 2810836 3212384 3513545 4015480 5621672 7027090 8030960 11243344 14054180 16061920 22486688 28108360 56216720 112433440