Search a number
-
+
106031304 = 23321472657
BaseRepresentation
bin1100101000111…
…10100011001000
321101111221121100
412110132203020
5204121000204
614304341400
72425152111
oct624364310
9241457540
10106031304
1154940985
122b614860
1318c75b22
1410121208
159496a39
hex651e8c8

106031304 has 24 divisors (see below), whose sum is σ = 287168310. Its totient is φ = 35343744.

The previous prime is 106031297. The next prime is 106031309. The reversal of 106031304 is 403130601.

It can be written as a sum of positive squares in only one way, i.e., 94128804 + 11902500 = 9702^2 + 3450^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1060313042 = 22485274855880832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106031309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 736257 + ... + 736400.

Almost surely, 2106031304 is an apocalyptic number.

It is an amenable number.

106031304 is an abundant number, since it is smaller than the sum of its proper divisors (181137006).

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

106031304 is a wasteful number, since it uses less digits than its factorization.

106031304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472669 (or 1472662 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106031304 is about 10297.1502853945. The cubic root of 106031304 is about 473.3089325957.

Adding to 106031304 its reverse (403130601), we get a palindrome (509161905).

The spelling of 106031304 in words is "one hundred six million, thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1472657 2945314 4417971 5890628 8835942 11781256 13253913 17671884 26507826 35343768 53015652 106031304