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18828180 = 22335717293
BaseRepresentation
bin100011111010…
…0101110010100
31022102120102000
41013310232110
514310000210
61511315300
7316015440
oct107645624
938376360
1018828180
11a69a988
12637bb30
133b92c47
142701820
1519bdac0
hex11f4b94

18828180 has 192 divisors, whose sum is σ = 71124480. Its totient is φ = 4036608.

The previous prime is 18828179. The next prime is 18828193. The reversal of 18828180 is 8182881.

It is a happy number.

It is a super-2 number, since 2×188281802 = 709000724224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64114 + ... + 64406.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 218828180 is an apocalyptic number.

18828180 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 18828180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

18828180 is an abundant number, since it is smaller than the sum of its proper divisors (52296300).

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

18828180 is a wasteful number, since it uses less digits than its factorization.

18828180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 18828180 is about 4339.1450770860. The cubic root of 18828180 is about 266.0333687198.

The spelling of 18828180 in words is "eighteen million, eight hundred twenty-eight thousand, one hundred eighty".