Search a number
-
+
18295140 = 22351013019
BaseRepresentation
bin100010111001…
…0100101100100
31021102111012210
41011302211210
514140421030
61452043420
7311335413
oct105624544
937374183
1018295140
11a366456
126163570
133a37436
14260347a
151915bb0
hex1172964

18295140 has 48 divisors (see below), whose sum is σ = 51750720. Its totient is φ = 4828800.

The previous prime is 18295127. The next prime is 18295141. The reversal of 18295140 is 4159281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18295098 and 18295107.

It is not an unprimeable number, because it can be changed into a prime (18295141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4551 + ... + 7569.

It is an arithmetic number, because the mean of its divisors is an integer number (1078140).

Almost surely, 218295140 is an apocalyptic number.

18295140 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 18295140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25875360).

18295140 is an abundant number, since it is smaller than the sum of its proper divisors (33455580).

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

18295140 is a wasteful number, since it uses less digits than its factorization.

18295140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 18295140 is about 4277.2818471548. The cubic root of 18295140 is about 263.4987619768.

The spelling of 18295140 in words is "eighteen million, two hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3019 3030 6038 6060 9057 12076 15095 18114 30190 36228 45285 60380 90570 181140 304919 609838 914757 1219676 1524595 1829514 3049190 3659028 4573785 6098380 9147570 18295140