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2018112 = 26323457
BaseRepresentation
bin111101100101101000000
310210112022220
413230231000
51004034422
6111131040
723103465
oct7545500
93715286
102018112
111159268
12813a80
13558765
143a766c
1529ce5c
hex1ecb40

2018112 has 56 divisors (see below), whose sum is σ = 5583936. Its totient is φ = 642048.

The previous prime is 2018111. The next prime is 2018113. The reversal of 2018112 is 2118102.

It is an interprime number because it is at equal distance from previous prime (2018111) and next prime (2018113).

It is a junction number, because it is equal to n+sod(n) for n = 2018091 and 2018100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4188 + ... + 4644.

22018112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2018112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791968).

2018112 is an abundant number, since it is smaller than the sum of its proper divisors (3565824).

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

2018112 is a wasteful number, since it uses less digits than its factorization.

2018112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 2018112 is about 1420.6026890021. The cubic root of 2018112 is about 126.3712908146.

The spelling of 2018112 in words is "two million, eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 457 552 736 914 1104 1371 1472 1828 2208 2742 3656 4416 5484 7312 10511 10968 14624 21022 21936 29248 31533 42044 43872 63066 84088 87744 126132 168176 252264 336352 504528 672704 1009056 2018112