Search a number
-
+
18162144 = 2534721113
BaseRepresentation
bin100010101001…
…0000111100000
31021011201210000
41011102013200
514122142034
61445140000
7310242600
oct105220740
937151700
1018162144
11a285540
1260ba600
1339bba40
1425aac00
1518db599
hex11521e0

18162144 has 360 divisors, whose sum is σ = 72997848. Its totient is φ = 4354560.

The previous prime is 18162127. The next prime is 18162161. The reversal of 18162144 is 44126181.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18162127) and next prime (18162161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1397082 + ... + 1397094.

Almost surely, 218162144 is an apocalyptic number.

18162144 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 18162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36498924).

18162144 is an abundant number, since it is smaller than the sum of its proper divisors (54835704).

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

18162144 is a wasteful number, since it uses less digits than its factorization.

18162144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 18162144 is about 4261.7067003725. The cubic root of 18162144 is about 262.8587095955.

The spelling of 18162144 in words is "eighteen million, one hundred sixty-two thousand, one hundred forty-four".