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18002124 = 2232771437
BaseRepresentation
bin100010010101…
…1000011001100
31020212121021100
41010223003030
514102031444
61441503100
7306005220
oct104530314
936777240
1018002124
11a186298
126041a90
133963c5a
142568780
1518a8e69
hex112b0cc

18002124 has 36 divisors (see below), whose sum is σ = 52006864. Its totient is φ = 5143392.

The previous prime is 18002111. The next prime is 18002129. The reversal of 18002124 is 42120081.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×180021242 = 648152937022752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 18002097 and 18002106.

It is not an unprimeable number, because it can be changed into a prime (18002129) 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, 35467 + ... + 35970.

Almost surely, 218002124 is an apocalyptic number.

18002124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18002124 is an abundant number, since it is smaller than the sum of its proper divisors (34004740).

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

18002124 is a wasteful number, since it uses less digits than its factorization.

18002124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71454 (or 71449 counting only the distinct ones).

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

The square root of 18002124 is about 4242.8909955359. The cubic root of 18002124 is about 262.0844472649.

The spelling of 18002124 in words is "eighteen million, two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 71437 142874 214311 285748 428622 500059 642933 857244 1000118 1285866 1500177 2000236 2571732 3000354 4500531 6000708 9001062 18002124