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7112106 = 2322341419
BaseRepresentation
bin11011001000010110101010
3111101022222100
4123020112222
53310041411
6412234230
7114311001
oct33102652
914338870
107112106
114018481
12246b976
131620261
14d31c38
15957456
hex6c85aa

7112106 has 48 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 2207040.

The previous prime is 7112089. The next prime is 7112111. The reversal of 7112106 is 6012117.

7112106 is nontrivially palindromic in base 13.

7112106 is a nontrivial binomial coefficient, being equal to C(3772, 2).

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

It is an Ulam number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16765 + ... + 17183.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 27112106 is an apocalyptic number.

7112106 is the 3771-st triangular number and also the 1886-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7112106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

7112106 is an abundant number, since it is smaller than the sum of its proper divisors (9398934).

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

7112106 is a wasteful number, since it uses less digits than its factorization.

7112106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 7112106 is about 2666.8532018092. The cubic root of 7112106 is about 192.3089102774.

The spelling of 7112106 in words is "seven million, one hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 414 419 738 838 943 1257 1886 2514 2829 3771 5658 7542 8487 9637 16974 17179 19274 28911 34358 51537 57822 86733 103074 154611 173466 309222 395117 790234 1185351 2370702 3556053 7112106