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27421380 = 22325723109
BaseRepresentation
bin110100010011…
…0101011000100
31220121011001200
41220212223010
524004441010
62415422500
7452035500
oct150465304
956534050
1027421380
111452a0a8
129224a30
1358b138c
1438db300
152619cc0
hex1a26ac4

27421380 has 108 divisors (see below), whose sum is σ = 96789420. Its totient is φ = 6265728.

The previous prime is 27421379. The next prime is 27421397. The reversal of 27421380 is 8312472.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 20196036 = 2688^2 + 4494^2 .

It is a super-2 number, since 2×274213802 = 1503864162208800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7266 + ... + 10374.

Almost surely, 227421380 is an apocalyptic number.

27421380 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 27421380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48394710).

27421380 is an abundant number, since it is smaller than the sum of its proper divisors (69368040).

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

27421380 is a wasteful number, since it uses less digits than its factorization.

27421380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27421380 is about 5236.5427526184. The cubic root of 27421380 is about 301.5526174019.

The spelling of 27421380 in words is "twenty-seven million, four hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 3109 4410 6218 8820 9327 12436 15545 18654 21763 27981 31090 37308 43526 46635 55962 62180 65289 87052 93270 108815 111924 130578 139905 152341 186540 195867 217630 261156 279810 304682 326445 391734 435260 457023 559620 609364 652890 761705 783468 914046 979335 1305780 1371069 1523410 1828092 1958670 2285115 2742138 3046820 3917340 4570230 5484276 6855345 9140460 13710690 27421380