Search a number
-
+
27314964 = 22321096961
BaseRepresentation
bin110100000110…
…0101100010100
31220101202002100
41220030230110
523443034324
62413242100
7451113315
oct150145424
956352070
1027314964
1114467156
129193330
135874b01
1438b060c
1525e84c9
hex1a0cb14

27314964 has 36 divisors (see below), whose sum is σ = 69689620. Its totient is φ = 9020160.

The previous prime is 27314957. The next prime is 27315011. The reversal of 27314964 is 46941372.

It can be written as a sum of positive squares in 2 ways, for example, as 20250000 + 7064964 = 4500^2 + 2658^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×273149642 = 1492214516642592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444 + ... + 7404.

Almost surely, 227314964 is an apocalyptic number.

It is an amenable number.

27314964 is an abundant number, since it is smaller than the sum of its proper divisors (42374656).

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

27314964 is a wasteful number, since it uses less digits than its factorization.

27314964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080 (or 7075 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 27314964 is about 5226.3719729847. The cubic root of 27314964 is about 301.1620265032.

The spelling of 27314964 in words is "twenty-seven million, three hundred fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 6961 13922 20883 27844 41766 62649 83532 125298 250596 758749 1517498 2276247 3034996 4552494 6828741 9104988 13657482 27314964