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7105332 = 22313371231
BaseRepresentation
bin11011000110101100110100
3111100222200110
4123012230310
53304332312
6412143020
7114252153
oct33065464
914328613
107105332
114013383
122467a70
13161a150
14d2d59a
1595543c
hex6c6b34

7105332 has 48 divisors (see below), whose sum is σ = 18351872. Its totient is φ = 2125440.

The previous prime is 7105331. The next prime is 7105361. The reversal of 7105332 is 2335017.

It is a happy number.

7105332 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 7105299 and 7105308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7105331) 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, 5157 + ... + 6387.

Almost surely, 27105332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7105332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9175936).

7105332 is an abundant number, since it is smaller than the sum of its proper divisors (11246540).

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

7105332 is a wasteful number, since it uses less digits than its factorization.

7105332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 7105332 is about 2665.5828630902. The cubic root of 7105332 is about 192.2478353362.

The spelling of 7105332 in words is "seven million, one hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1231 1443 1924 2462 2886 3693 4924 5772 7386 14772 16003 32006 45547 48009 64012 91094 96018 136641 182188 192036 273282 546564 592111 1184222 1776333 2368444 3552666 7105332