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18932985 = 3251724749
BaseRepresentation
bin100100000111…
…0010011111001
31022121220011200
41020032103321
514321323420
61513444413
7316633131
oct110162371
938556150
1018932985
11a7616a5
126410709
133bcb866
14272bac1
1519deb90
hex120e4f9

18932985 has 24 divisors (see below), whose sum is σ = 34749000. Its totient is φ = 9503232.

The previous prime is 18932981. The next prime is 18932993. The reversal of 18932985 is 58923981.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9715689 + 9217296 = 3117^2 + 3036^2 .

It is not a de Polignac number, because 18932985 - 22 = 18932981 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 18932985.

It is not an unprimeable number, because it can be changed into a prime (18932981) 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, 11610 + ... + 13139.

It is an arithmetic number, because the mean of its divisors is an integer number (1447875).

Almost surely, 218932985 is an apocalyptic number.

18932985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18932985 is a deficient number, since it is larger than the sum of its proper divisors (15816015).

18932985 is a wasteful number, since it uses less digits than its factorization.

18932985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24777 (or 24774 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 18932985 is about 4351.2050055128. The cubic root of 18932985 is about 266.5260708514.

The spelling of 18932985 in words is "eighteen million, nine hundred thirty-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 24749 74247 123745 222741 371235 420733 1113705 1262199 2103665 3786597 6310995 18932985