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6692112 = 243372213
BaseRepresentation
bin11001100001110100010000
3110120222212000
4121201310100
53203121422
6355234000
7110611350
oct31416420
913528760
106692112
113860979
1222a8900
13150403b
14c62b60
158c2cac
hex661d10

6692112 has 80 divisors (see below), whose sum is σ = 21962880. Its totient is φ = 1911168.

The previous prime is 6692111. The next prime is 6692117. The reversal of 6692112 is 2112966.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (6692111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1918 + ... + 4130.

It is an arithmetic number, because the mean of its divisors is an integer number (274536).

Almost surely, 26692112 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 6692112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10981440).

6692112 is an abundant number, since it is smaller than the sum of its proper divisors (15270768).

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

6692112 is a wasteful number, since it uses less digits than its factorization.

6692112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2225 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 6692112 is about 2586.9116722455. The cubic root of 6692112 is about 188.4463515309.

The spelling of 6692112 in words is "six million, six hundred ninety-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2213 3024 4426 6639 8852 13278 15491 17704 19917 26556 30982 35408 39834 46473 53112 59751 61964 79668 92946 106224 119502 123928 139419 159336 185892 239004 247856 278838 318672 371784 418257 478008 557676 743568 836514 956016 1115352 1673028 2230704 3346056 6692112