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6326080 = 26553373
BaseRepresentation
bin11000001000011101000000
3102220101202021
4120020131000
53104413310
6343331224
7104525245
oct30103500
912811667
106326080
113630972
122150b14
131406557
14ba95cc
1584e5da
hex608740

6326080 has 56 divisors (see below), whose sum is σ = 15389352. Its totient is φ = 2476032.

The previous prime is 6326063. The next prime is 6326087. The reversal of 6326080 is 806236.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 5089536 = 1112^2 + 2256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6326087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16774 + ... + 17146.

Almost surely, 26326080 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 6326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694676).

6326080 is an abundant number, since it is smaller than the sum of its proper divisors (9063272).

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

6326080 is a wasteful number, since it uses less digits than its factorization.

6326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6326080 is about 2515.1699743755. The cubic root of 6326080 is about 184.9459788703.

The spelling of 6326080 in words is "six million, three hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 373 424 530 746 848 1060 1492 1696 1865 2120 2984 3392 3730 4240 5968 7460 8480 11936 14920 16960 19769 23872 29840 39538 59680 79076 98845 119360 158152 197690 316304 395380 632608 790760 1265216 1581520 3163040 6326080