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112414140 = 223253716879
BaseRepresentation
bin1101011001101…
…00110110111100
321211112020012200
412230310312330
5212234223030
615053231500
72533335006
oct654646674
9254466180
10112414140
1158500453
1231792590
131a39c157
1410d03376
159d07d60
hex6b34dbc

112414140 has 72 divisors (see below), whose sum is σ = 350226240. Its totient is φ = 29165184.

The previous prime is 112414139. The next prime is 112414147. The reversal of 112414140 is 41414211.

112414140 is a `hidden beast` number, since 11 + 241 + 414 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112414147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1780 + ... + 15099.

Almost surely, 2112414140 is an apocalyptic number.

112414140 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 112414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175113120).

112414140 is an abundant number, since it is smaller than the sum of its proper divisors (237812100).

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

112414140 is a wasteful number, since it uses less digits than its factorization.

112414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16931 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 112414140 is about 10602.5534660288. The cubic root of 112414140 is about 482.6218507969.

Adding to 112414140 its reverse (41414211), we get a palindrome (153828351).

The spelling of 112414140 in words is "one hundred twelve million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 16879 33758 50637 67516 84395 101274 151911 168790 202548 253185 303822 337580 506370 607644 624523 759555 1012740 1249046 1519110 1873569 2498092 3038220 3122615 3747138 5620707 6245230 7494276 9367845 11241414 12490460 18735690 22482828 28103535 37471380 56207070 112414140