Search a number
-
+
7157106 = 2331112049
BaseRepresentation
bin11011010011010101110010
3111110121201000
4123103111302
53313011411
6413222430
7114556125
oct33232562
914417630
107157106
114049270
122491a16
131637898
14d443bc
15965956
hex6d3572

7157106 has 32 divisors (see below), whose sum is σ = 17352000. Its totient is φ = 2168640.

The previous prime is 7157099. The next prime is 7157107. The reversal of 7157106 is 6017517.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7157106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7157107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5431 + ... + 6618.

It is an arithmetic number, because the mean of its divisors is an integer number (542250).

Almost surely, 27157106 is an apocalyptic number.

7157106 is an abundant number, since it is smaller than the sum of its proper divisors (10194894).

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

7157106 is a wasteful number, since it uses less digits than its factorization.

7157106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12071 (or 12065 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 7157106 is about 2675.2768081079. The cubic root of 7157106 is about 192.7136527021.

It can be divided in two parts, 715710 and 6, that added together give a square (715716 = 8462).

The spelling of 7157106 in words is "seven million, one hundred fifty-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 12049 24098 36147 72294 108441 132539 216882 265078 325323 397617 650646 795234 1192851 2385702 3578553 7157106