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112433140 = 22553731453
BaseRepresentation
bin1101011001110…
…01011111110100
321211120012021101
412230321133310
5212240330030
615053455444
72533444261
oct654713764
9254505241
10112433140
1158513756
12317a1584
131a3a79b1
1410d0a268
159d0d7ca
hex6b397f4

112433140 has 48 divisors (see below), whose sum is σ = 244027728. Its totient is φ = 43490304.

The previous prime is 112433137. The next prime is 112433143. The reversal of 112433140 is 41334211.

It is an interprime number because it is at equal distance from previous prime (112433137) and next prime (112433143).

It can be written as a sum of positive squares in 8 ways, for example, as 16353936 + 96079204 = 4044^2 + 9802^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112433143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76654 + ... + 78106.

It is an arithmetic number, because the mean of its divisors is an integer number (5083911).

Almost surely, 2112433140 is an apocalyptic number.

112433140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112433140 is an abundant number, since it is smaller than the sum of its proper divisors (131594588).

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

112433140 is a wasteful number, since it uses less digits than its factorization.

112433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 112433140 is about 10603.4494387440. The cubic root of 112433140 is about 482.6490398397.

Adding to 112433140 its reverse (41334211), we get a palindrome (153767351).

The spelling of 112433140 in words is "one hundred twelve million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 73 106 146 212 265 292 365 530 730 1060 1453 1460 2906 3869 5812 7265 7738 14530 15476 19345 29060 38690 77009 77380 106069 154018 212138 308036 385045 424276 530345 770090 1060690 1540180 2121380 5621657 11243314 22486628 28108285 56216570 112433140