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27420840 = 23325591291
BaseRepresentation
bin110100010011…
…0100010101000
31220121010022200
41220212202220
524004431330
62415420200
7452034066
oct150464250
956533280
1027420840
1114529757
129224660
1358b1065
1438db036
152619a60
hex1a268a8

27420840 has 96 divisors (see below), whose sum is σ = 90698400. Its totient is φ = 7182720.

The previous prime is 27420791. The next prime is 27420851. The reversal of 27420840 is 4802472.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20595 + ... + 21885.

It is an arithmetic number, because the mean of its divisors is an integer number (944775).

Almost surely, 227420840 is an apocalyptic number.

27420840 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 27420840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45349200).

27420840 is an abundant number, since it is smaller than the sum of its proper divisors (63277560).

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

27420840 is a wasteful number, since it uses less digits than its factorization.

27420840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 27420840 is about 5236.4911916282. The cubic root of 27420840 is about 301.5506379309.

The spelling of 27420840 in words is "twenty-seven million, four hundred twenty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 295 354 360 472 531 590 708 885 1062 1180 1291 1416 1770 2124 2360 2582 2655 3540 3873 4248 5164 5310 6455 7080 7746 10328 10620 11619 12910 15492 19365 21240 23238 25820 30984 38730 46476 51640 58095 76169 77460 92952 116190 152338 154920 228507 232380 304676 380845 457014 464760 609352 685521 761690 914028 1142535 1371042 1523380 1828056 2285070 2742084 3046760 3427605 4570140 5484168 6855210 9140280 13710420 27420840