Search a number
-
+
27014064 = 2437117309
BaseRepresentation
bin110011100001…
…1001110110000
31212211110022220
41213003032300
523403422224
62403001040
7445421130
oct147031660
955743286
1027014064
1114281080
129069180
13579ab6c
143832ac0
152589279
hex19c33b0

27014064 has 80 divisors (see below), whose sum is σ = 87018240. Its totient is φ = 7015680.

The previous prime is 27014063. The next prime is 27014083. The reversal of 27014064 is 46041072.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (27014063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42 + ... + 7350.

It is an arithmetic number, because the mean of its divisors is an integer number (1087728).

Almost surely, 227014064 is an apocalyptic number.

27014064 is a gapful number since it is divisible by the number (24) 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 27014064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43509120).

27014064 is an abundant number, since it is smaller than the sum of its proper divisors (60004176).

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

27014064 is a wasteful number, since it uses less digits than its factorization.

27014064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7338 (or 7332 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 27014064 is about 5197.5055555526. The cubic root of 27014064 is about 300.0520798473.

The spelling of 27014064 in words is "twenty-seven million, fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 7309 14618 21927 29236 43854 51163 58472 80399 87708 102326 116944 153489 160798 175416 204652 241197 306978 321596 350832 409304 482394 562793 613956 643192 818608 964788 1125586 1227912 1286384 1688379 1929576 2251172 2455824 3376758 3859152 4502344 6753516 9004688 13507032 27014064