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27693420 = 2235597823
BaseRepresentation
bin110100110100…
…1000101101100
31221002222020020
41221221011230
524042142140
62425322140
7454250556
oct151510554
957088206
1027693420
11146a5527
129336350
135978151
14396c4d6
1526706d0
hex1a6916c

27693420 has 48 divisors (see below), whose sum is σ = 78865920. Its totient is φ = 7258816.

The previous prime is 27693397. The next prime is 27693433. The reversal of 27693420 is 2439672.

It is a super-2 number, since 2×276934202 = 1533851022592800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372 + ... + 7451.

It is an arithmetic number, because the mean of its divisors is an integer number (1643040).

Almost surely, 227693420 is an apocalyptic number.

27693420 is a gapful number since it is divisible by the number (20) 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 27693420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39432960).

27693420 is an abundant number, since it is smaller than the sum of its proper divisors (51172500).

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

27693420 is a wasteful number, since it uses less digits than its factorization.

27693420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 27693420 is about 5262.4538002723. The cubic root of 27693420 is about 302.5465447583.

The spelling of 27693420 in words is "twenty-seven million, six hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 7823 15646 23469 31292 39115 46938 78230 93876 117345 156460 234690 461557 469380 923114 1384671 1846228 2307785 2769342 4615570 5538684 6923355 9231140 13846710 27693420