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18420727 = 1331431063
BaseRepresentation
bin100011001000…
…1001111110111
31021122212111011
41012101033313
514203430402
61454453051
7312400513
oct106211767
937585434
1018420727
11a441846
126204187
133a7c650
142637143
15193ced7
hex11913f7

18420727 has 16 divisors (see below), whose sum is σ = 20973568. Its totient is φ = 16057440.

The previous prime is 18420691. The next prime is 18420739. The reversal of 18420727 is 72702481.

It is a cyclic number.

It is not a de Polignac number, because 18420727 - 223 = 10032119 is a prime.

It is a super-6 number, since 6×184207276 (a number of 45 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18420427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16798 + ... + 17860.

It is an arithmetic number, because the mean of its divisors is an integer number (1310848).

Almost surely, 218420727 is an apocalyptic number.

18420727 is a deficient number, since it is larger than the sum of its proper divisors (2552841).

18420727 is a wasteful number, since it uses less digits than its factorization.

18420727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150.

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 18420727 is about 4291.9374412962. The cubic root of 18420727 is about 264.1003167505.

The spelling of 18420727 in words is "eighteen million, four hundred twenty thousand, seven hundred twenty-seven".

Divisors: 1 13 31 43 403 559 1063 1333 13819 17329 32953 45709 428389 594217 1416979 18420727