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27420420 = 22351967359
BaseRepresentation
bin110100010011…
…0011100000100
31220121002202010
41220212130010
524004423140
62415414220
7452032626
oct150463404
956532663
1027420420
1114529405
129224370
1358b0b01
1438dac16
152619880
hex1a26704

27420420 has 96 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 6804864.

The previous prime is 27420403. The next prime is 27420433. The reversal of 27420420 is 2402472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76201 + ... + 76559.

It is an arithmetic number, because the mean of its divisors is an integer number (856800).

Almost surely, 227420420 is an apocalyptic number.

27420420 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 27420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

27420420 is an abundant number, since it is smaller than the sum of its proper divisors (54832380).

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

27420420 is a wasteful number, since it uses less digits than its factorization.

27420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 27420420 is about 5236.4510882849. The cubic root of 27420420 is about 301.5490983243.

Adding to 27420420 its reverse (2402472), we get a palindrome (29822892).

The spelling of 27420420 in words is "twenty-seven million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 359 380 402 570 670 718 804 1005 1077 1140 1273 1340 1436 1795 2010 2154 2546 3590 3819 4020 4308 5092 5385 6365 6821 7180 7638 10770 12730 13642 15276 19095 20463 21540 24053 25460 27284 34105 38190 40926 48106 68210 72159 76380 81852 96212 102315 120265 136420 144318 204630 240530 288636 360795 409260 457007 481060 721590 914014 1371021 1443180 1828028 2285035 2742042 4570070 5484084 6855105 9140140 13710210 27420420