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18134120 = 235232857
BaseRepresentation
bin100010100101…
…1010001101000
31021010022100002
41011023101220
514120242440
61444402132
7310065104
oct105132150
937108302
1018134120
11a266484
1260a6348
1339ac064
1425a0904
1518d3115
hex114b468

18134120 has 48 divisors (see below), whose sum is σ = 42702660. Its totient is φ = 6930176.

The previous prime is 18134119. The next prime is 18134131. The reversal of 18134120 is 2143181.

It can be written as a sum of positive squares in 2 ways, for example, as 17522596 + 611524 = 4186^2 + 782^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 18134092 and 18134101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20732 + ... + 21588.

Almost surely, 218134120 is an apocalyptic number.

18134120 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 18134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351330).

18134120 is an abundant number, since it is smaller than the sum of its proper divisors (24568540).

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

18134120 is a wasteful number, since it uses less digits than its factorization.

18134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 18134120 is about 4258.4175464602. The cubic root of 18134120 is about 262.7234439120.

The spelling of 18134120 in words is "eighteen million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 857 920 1058 1714 2116 2645 3428 4232 4285 5290 6856 8570 10580 17140 19711 21160 34280 39422 78844 98555 157688 197110 394220 453353 788440 906706 1813412 2266765 3626824 4533530 9067060 18134120