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6326112 = 2531337137
BaseRepresentation
bin11000001000011101100000
3102220101210110
4120020131200
53104413422
6343331320
7104525322
oct30103540
912811713
106326112
1136309a1
122150b40
131406580
14ba9612
1584e60c
hex608760

6326112 has 96 divisors (see below), whose sum is σ = 18500832. Its totient is φ = 1880064.

The previous prime is 6326087. The next prime is 6326119. The reversal of 6326112 is 2116236.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6326119) 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, 46108 + ... + 46244.

It is an arithmetic number, because the mean of its divisors is an integer number (192717).

Almost surely, 26326112 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 6326112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250416).

6326112 is an abundant number, since it is smaller than the sum of its proper divisors (12174720).

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

6326112 is a wasteful number, since it uses less digits than its factorization.

6326112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 6326112 is about 2515.1763357665. The cubic root of 6326112 is about 184.9462907149.

The spelling of 6326112 in words is "six million, three hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 137 148 156 208 222 274 296 312 411 416 444 481 548 592 624 822 888 962 1096 1184 1248 1443 1644 1776 1781 1924 2192 2886 3288 3552 3562 3848 4384 5069 5343 5772 6576 7124 7696 10138 10686 11544 13152 14248 15207 15392 20276 21372 23088 28496 30414 40552 42744 46176 56992 60828 65897 81104 85488 121656 131794 162208 170976 197691 243312 263588 395382 486624 527176 790764 1054352 1581528 2108704 3163056 6326112