Search a number
-
+
27276172 = 22711195979
BaseRepresentation
bin110100000001…
…1001110001100
31220022202212121
41220003032030
523440314142
62412342324
7450562240
oct150031614
956282777
1027276172
111443aaa0
1291749a4
135860261
1438a0420
1525dbc67
hex1a0338c

27276172 has 96 divisors (see below), whose sum is σ = 64512000. Its totient is φ = 9771840.

The previous prime is 27276167. The next prime is 27276173. The reversal of 27276172 is 27167272.

It is not an unprimeable number, because it can be changed into a prime (27276173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345229 + ... + 345307.

It is an arithmetic number, because the mean of its divisors is an integer number (672000).

Almost surely, 227276172 is an apocalyptic number.

27276172 is a gapful number since it is divisible by the number (22) 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 27276172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256000).

27276172 is an abundant number, since it is smaller than the sum of its proper divisors (37235828).

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

27276172 is a wasteful number, since it uses less digits than its factorization.

27276172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its digits is 16464, while the sum is 34.

The square root of 27276172 is about 5222.6594757843. The cubic root of 27276172 is about 301.0193914726.

Subtracting from 27276172 its reverse (27167272), we obtain a square (108900 = 3302).

The spelling of 27276172 in words is "twenty-seven million, two hundred seventy-six thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 59 76 77 79 118 133 154 158 209 236 266 308 316 413 418 532 553 649 826 836 869 1106 1121 1298 1463 1501 1652 1738 2212 2242 2596 2926 3002 3476 4484 4543 4661 5852 6004 6083 7847 9086 9322 10507 12166 12331 15694 16511 18172 18644 21014 24332 24662 31388 32627 33022 42028 49324 51271 65254 66044 86317 88559 102542 115577 130508 172634 177118 205084 231154 345268 354236 358897 462308 619913 717794 974149 1239826 1435588 1948298 2479652 3896596 6819043 13638086 27276172