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7106064 = 243721149
BaseRepresentation
bin11011000110111000010000
3111101000200120
4123012320100
53304343224
6412150240
7114254250
oct33067020
914330616
107106064
114013989
122468380
13161a594
14d2d960
15955779
hex6c6e10

7106064 has 40 divisors (see below), whose sum is σ = 20980800. Its totient is φ = 2030208.

The previous prime is 7106041. The next prime is 7106069. The reversal of 7106064 is 4606017.

7106064 = T62 + T63 + ... + T349.

It is a super-2 number, since 2×71060642 = 100992291144192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7106069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10239 + ... + 10910.

It is an arithmetic number, because the mean of its divisors is an integer number (524520).

Almost surely, 27106064 is an apocalyptic number.

It is an amenable number.

7106064 is an abundant number, since it is smaller than the sum of its proper divisors (13874736).

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

7106064 is a wasteful number, since it uses less digits than its factorization.

7106064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21167 (or 21161 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7106064 is about 2665.7201653587. The cubic root of 7106064 is about 192.2544369786.

The spelling of 7106064 in words is "seven million, one hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 21149 42298 63447 84596 126894 148043 169192 253788 296086 338384 444129 507576 592172 888258 1015152 1184344 1776516 2368688 3553032 7106064