Search a number
-
+
27260964 = 22324571657
BaseRepresentation
bin110011111111…
…1100000100100
31220022000000100
41213333200210
523434322324
62412144100
7450500013
oct147774044
956260010
1027260964
111442a625
129168030
135856363
143898a7a
1525d74c9
hex19ff824

27260964 has 36 divisors (see below), whose sum is σ = 69102124. Its totient is φ = 9061632.

The previous prime is 27260963. The next prime is 27260993. The reversal of 27260964 is 46906272.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16646400 + 10614564 = 4080^2 + 3258^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (27260963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15624 + ... + 17280.

Almost surely, 227260964 is an apocalyptic number.

It is an amenable number.

27260964 is an abundant number, since it is smaller than the sum of its proper divisors (41841160).

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

27260964 is a wasteful number, since it uses less digits than its factorization.

27260964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2119 counting only the distinct ones).

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

The square root of 27260964 is about 5221.2033095830. The cubic root of 27260964 is about 300.9634359915.

It can be divided in two parts, 27260 and 964, that added together give a square (28224 = 1682).

The spelling of 27260964 in words is "twenty-seven million, two hundred sixty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1657 1828 2742 3314 4113 4971 5484 6628 8226 9942 14913 16452 19884 29826 59652 757249 1514498 2271747 3028996 4543494 6815241 9086988 13630482 27260964