Search a number
-
+
27162030 = 2357211613
BaseRepresentation
bin110011110011…
…1010110101110
31220002222022010
41213213112232
523423141110
62410102050
7446605410
oct147472656
956088263
1027162030
1114372265
12911a926
13582030c
1438709b0
1525b8020
hex19e75ae

27162030 has 64 divisors (see below), whose sum is σ = 74976768. Its totient is φ = 6168960.

The previous prime is 27162029. The next prime is 27162041. The reversal of 27162030 is 3026172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 27161988 and 27162006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44004 + ... + 44616.

It is an arithmetic number, because the mean of its divisors is an integer number (1171512).

Almost surely, 227162030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27162030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37488384).

27162030 is an abundant number, since it is smaller than the sum of its proper divisors (47814738).

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

27162030 is a wasteful number, since it uses less digits than its factorization.

27162030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 27162030 is about 5211.7204453040. The cubic root of 27162030 is about 300.5989146529.

The spelling of 27162030 in words is "twenty-seven million, one hundred sixty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 211 422 613 633 1055 1226 1266 1477 1839 2110 2954 3065 3165 3678 4291 4431 6130 6330 7385 8582 8862 9195 12873 14770 18390 21455 22155 25746 42910 44310 64365 128730 129343 258686 388029 646715 776058 905401 1293430 1810802 1940145 2716203 3880290 4527005 5432406 9054010 13581015 27162030