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27113220 = 223253143113
BaseRepresentation
bin110011101101…
…1011100000100
31220000111100100
41213123130010
523420110340
62405044100
7446313201
oct147333404
956014310
1027113220
1114339622
1290b6630
135804034
14385aca8
1525a8830
hex19db704

27113220 has 144 divisors (see below), whose sum is σ = 87639552. Its totient is φ = 6773760.

The previous prime is 27113197. The next prime is 27113239. The reversal of 27113220 is 2231172.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 27113193 and 27113202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239884 + ... + 239996.

It is an arithmetic number, because the mean of its divisors is an integer number (608608).

Almost surely, 227113220 is an apocalyptic number.

27113220 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 27113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43819776).

27113220 is an abundant number, since it is smaller than the sum of its proper divisors (60526332).

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

27113220 is a wasteful number, since it uses less digits than its factorization.

27113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 27113220 is about 5207.0356249982. The cubic root of 27113220 is about 300.4187485602.

Adding to 27113220 its reverse (2231172), we get a palindrome (29344392).

The spelling of 27113220 in words is "twenty-seven million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 43 45 60 62 86 90 93 113 124 129 155 172 180 186 215 226 258 279 310 339 372 387 430 452 465 516 558 565 620 645 678 774 860 930 1017 1116 1130 1290 1333 1356 1395 1548 1695 1860 1935 2034 2260 2580 2666 2790 3390 3503 3870 3999 4068 4859 5085 5332 5580 6665 6780 7006 7740 7998 9718 10170 10509 11997 13330 14012 14577 15996 17515 19436 19995 20340 21018 23994 24295 26660 29154 31527 35030 39990 42036 43731 47988 48590 52545 58308 59985 63054 70060 72885 79980 87462 97180 105090 119970 126108 145770 150629 157635 174924 210180 218655 239940 291540 301258 315270 437310 451887 602516 630540 753145 874620 903774 1355661 1506290 1807548 2259435 2711322 3012580 4518870 5422644 6778305 9037740 13556610 27113220