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6112116 = 2232412101
BaseRepresentation
bin10111010100001101110100
3102111112020200
4113110031310
53031041431
6335000500
7102644403
oct27241564
912445220
106112116
1134a513a
122069130
13136004a
14b5163a
1580aee6
hex5d4374

6112116 has 54 divisors (see below), whose sum is σ = 15992886. Its totient is φ = 1968000.

The previous prime is 6112109. The next prime is 6112121.

6112116 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 90000 + 6022116 = 300^2 + 2454^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60466 + ... + 60566.

Almost surely, 26112116 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 6112116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7996443).

6112116 is an abundant number, since it is smaller than the sum of its proper divisors (9880770).

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

6112116 is a wasteful number, since it uses less digits than its factorization.

6112116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 147 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 6112116 is about 2472.2694027957. The cubic root of 6112116 is about 182.8369056612.

The spelling of 6112116 in words is "six million, one hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 101 123 164 202 246 303 369 404 492 606 738 909 1212 1476 1681 1818 3362 3636 4141 5043 6724 8282 10086 12423 15129 16564 20172 24846 30258 37269 49692 60516 74538 149076 169781 339562 509343 679124 1018686 1528029 2037372 3056058 6112116