Search a number
-
+
27131922 = 2376203
BaseRepresentation
bin110011110000…
…0000000010010
31220001110000000
41213200000102
523421210142
62405310430
7446421546
oct147400022
956043000
1027131922
1114351684
129105416
13580c6bc
143863a26
1525ae14c
hex19e0012

27131922 has 32 divisors (see below), whose sum is σ = 61047360. Its totient is φ = 9042516.

The previous prime is 27131921. The next prime is 27131939. The reversal of 27131922 is 22913172.

It is a super-2 number, since 2×271319222 = 1472282382828168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27131921) 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, 1273 + ... + 7475.

It is an arithmetic number, because the mean of its divisors is an integer number (1907730).

Almost surely, 227131922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27131922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30523680).

27131922 is an abundant number, since it is smaller than the sum of its proper divisors (33915438).

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

27131922 is an frugal number, since it uses more digits than its factorization.

27131922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226 (or 6208 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 27131922 is about 5208.8311548753. The cubic root of 27131922 is about 300.4878063865.

The spelling of 27131922 in words is "twenty-seven million, one hundred thirty-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6203 12406 18609 37218 55827 111654 167481 334962 502443 1004886 1507329 3014658 4521987 9043974 13565961 27131922