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18002964 = 22371072003
BaseRepresentation
bin100010010101…
…1010000010100
31020212122102110
41010223100110
514102043324
61441511020
7306010530
oct104532024
936778373
1018002964
11a186991
126042470
133964455
142568bc0
1518a9329
hex112b414

18002964 has 48 divisors (see below), whose sum is σ = 48480768. Its totient is φ = 5093088.

The previous prime is 18002923. The next prime is 18002969. The reversal of 18002964 is 46920081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18002969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7987 + ... + 9989.

It is an arithmetic number, because the mean of its divisors is an integer number (1010016).

Almost surely, 218002964 is an apocalyptic number.

18002964 is a gapful number since it is divisible by the number (14) 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 18002964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24240384).

18002964 is an abundant number, since it is smaller than the sum of its proper divisors (30477804).

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

18002964 is a wasteful number, since it uses less digits than its factorization.

18002964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 18002964 is about 4242.9899834904. The cubic root of 18002964 is about 262.0885235897.

The spelling of 18002964 in words is "eighteen million, two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2003 2247 2996 4006 4494 6009 8012 8988 12018 14021 24036 28042 42063 56084 84126 168252 214321 428642 642963 857284 1285926 1500247 2571852 3000494 4500741 6000988 9001482 18002964