Search a number
-
+
27380754 = 235531063
BaseRepresentation
bin110100001110…
…0110000010010
31220112002100000
41220130300102
524002141004
62414510430
7451506162
oct150346022
956462300
1027380754
1114501625
129205416
135898a3b
1438ca5a2
15260cc39
hex1a1cc12

27380754 has 48 divisors (see below), whose sum is σ = 62741952. Its totient is φ = 8946288.

The previous prime is 27380753. The next prime is 27380789. The reversal of 27380754 is 45708372.

It is not an unprimeable number, because it can be changed into a prime (27380753) 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, 25227 + ... + 26289.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 227380754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27380754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976).

27380754 is an abundant number, since it is smaller than the sum of its proper divisors (35361198).

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

27380754 is a wasteful number, since it uses less digits than its factorization.

27380754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 27380754 is about 5232.6622287321. The cubic root of 27380754 is about 301.4036225702.

The spelling of 27380754 in words is "twenty-seven million, three hundred eighty thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 954 1063 1431 2126 2862 3189 4293 6378 8586 9567 12879 19134 25758 28701 56339 57402 86103 112678 169017 172206 258309 338034 507051 516618 1014102 1521153 3042306 4563459 9126918 13690377 27380754