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18942000 = 2435371141
BaseRepresentation
bin100100001000…
…0100000110000
31022122100112120
41020100200300
514322121000
61513554240
7320001330
oct110204060
938570476
1018942000
11a768450
126415980
133c029ac
1427310c0
1519e26a0
hex1210830

18942000 has 320 divisors, whose sum is σ = 77995008. Its totient is φ = 3840000.

The previous prime is 18941999. The next prime is 18942013. The reversal of 18942000 is 24981.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461980 + ... + 462020.

Almost surely, 218942000 is an apocalyptic number.

18942000 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 18942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

18942000 is an abundant number, since it is smaller than the sum of its proper divisors (59053008).

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

18942000 is a wasteful number, since it uses less digits than its factorization.

18942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 18942000 is about 4352.2408021616. The cubic root of 18942000 is about 266.5683665463.

Adding to 18942000 its reverse (24981), we get a palindrome (18966981).

The spelling of 18942000 in words is "eighteen million, nine hundred forty-two thousand".