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7106372 = 2272132789
BaseRepresentation
bin11011000110111101000100
3111101001002222
4123012331010
53304400442
6412151512
7114255200
oct33067504
914331088
107106372
114014139
122468598
13161a770
14d2db00
159558d2
hex6c6f44

7106372 has 36 divisors (see below), whose sum is σ = 15584940. Its totient is φ = 2810304.

The previous prime is 7106371. The next prime is 7106389. The reversal of 7106372 is 2736017.

It can be written as a sum of positive squares in 2 ways, for example, as 2637376 + 4468996 = 1624^2 + 2114^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (7106371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1154 + ... + 3942.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 27106372 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 7106372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7792470).

7106372 is an abundant number, since it is smaller than the sum of its proper divisors (8478568).

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

7106372 is a wasteful number, since it uses less digits than its factorization.

7106372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 7106372 is about 2665.7779352377. Note that the first 3 decimals coincide. The cubic root of 7106372 is about 192.2572145834.

The spelling of 7106372 in words is "seven million, one hundred six thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 2789 5578 11156 19523 36257 39046 72514 78092 136661 145028 253799 273322 507598 546644 1015196 1776593 3553186 7106372