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27093132 = 223211312207
BaseRepresentation
bin110011101011…
…0100010001100
31212222110210100
41213112202030
523413440012
62404411100
7446200503
oct147264214
955873710
1027093132
1114325520
1290a6a90
1357c7b51
14385383a
1525a28dc
hex19d688c

27093132 has 72 divisors (see below), whose sum is σ = 77156352. Its totient is φ = 7941600.

The previous prime is 27093127. The next prime is 27093133. The reversal of 27093132 is 23139072.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27093096 and 27093105.

It is not an unprimeable number, because it can be changed into a prime (27093133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11173 + ... + 13379.

It is an arithmetic number, because the mean of its divisors is an integer number (1071616).

Almost surely, 227093132 is an apocalyptic number.

27093132 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 27093132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38578176).

27093132 is an abundant number, since it is smaller than the sum of its proper divisors (50063220).

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

27093132 is a wasteful number, since it uses less digits than its factorization.

27093132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 27093132 is about 5205.1063389714. The cubic root of 27093132 is about 300.3445374949.

It can be divided in two parts, 27093 and 132, that added together give a square (27225 = 1652).

The spelling of 27093132 in words is "twenty-seven million, ninety-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 2207 3069 4092 4414 6138 6621 8828 12276 13242 19863 24277 26484 39726 48554 68417 72831 79452 97108 136834 145662 205251 218493 273668 291324 410502 436986 615753 752587 821004 873972 1231506 1505174 2257761 2463012 3010348 4515522 6773283 9031044 13546566 27093132