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1116126 = 233111879
BaseRepresentation
bin100010000011111011110
32002201001000
410100133132
5241204001
635531130
712326004
oct4203736
92081030
101116126
116a2620
12459aa6
1330103b
14210a74
15170a86
hex1107de

1116126 has 32 divisors (see below), whose sum is σ = 2707200. Its totient is φ = 338040.

The previous prime is 1116107. The next prime is 1116133. The reversal of 1116126 is 6216111.

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 junction number, because it is equal to n+sod(n) for n = 1116099 and 1116108.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 346 + ... + 1533.

It is an arithmetic number, because the mean of its divisors is an integer number (84600).

21116126 is an apocalyptic number.

1116126 is an abundant number, since it is smaller than the sum of its proper divisors (1591074).

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

1116126 is a wasteful number, since it uses less digits than its factorization.

1116126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1895 counting only the distinct ones).

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

The square root of 1116126 is about 1056.4686460090. The cubic root of 1116126 is about 103.7300072765.

The spelling of 1116126 in words is "one million, one hundred sixteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1879 3758 5637 11274 16911 20669 33822 41338 50733 62007 101466 124014 186021 372042 558063 1116126