Search a number
-
+
27070164 = 223211197347
BaseRepresentation
bin110011101000…
…0111011010100
31212221022021200
41213100323110
523412221124
62404112500
7446043522
oct147207324
955838250
1027070164
111430a240
129095730
1357ba564
143849312
15259abc9
hex19d0ed4

27070164 has 72 divisors (see below), whose sum is σ = 75243168. Its totient is φ = 8137920.

The previous prime is 27070159. The next prime is 27070187. The reversal of 27070164 is 46107072.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 77839 + ... + 78185.

It is an arithmetic number, because the mean of its divisors is an integer number (1045044).

Almost surely, 227070164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27070164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37621584).

27070164 is an abundant number, since it is smaller than the sum of its proper divisors (48173004).

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

27070164 is a wasteful number, since it uses less digits than its factorization.

27070164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 27070164 is about 5202.8995761979. The cubic root of 27070164 is about 300.2596418888.

The spelling of 27070164 in words is "twenty-seven million, seventy thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 197 198 347 394 396 591 694 788 1041 1182 1388 1773 2082 2167 2364 3123 3546 3817 4164 4334 6246 6501 7092 7634 8668 11451 12492 13002 15268 19503 22902 26004 34353 39006 45804 68359 68706 78012 136718 137412 205077 273436 410154 615231 751949 820308 1230462 1503898 2255847 2460924 3007796 4511694 6767541 9023388 13535082 27070164