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6426920 = 235317173
BaseRepresentation
bin11000100001000100101000
3110002112002002
4120201010220
53121130140
6345430132
7105425243
oct30410450
913075062
106426920
11369a705
12219b348
131440416
14bd425a
1586e415
hex621128

6426920 has 64 divisors (see below), whose sum is σ = 15344640. Its totient is φ = 2419200.

The previous prime is 6426919. The next prime is 6426923. The reversal of 6426920 is 296246.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6426923) 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 15 ways as a sum of consecutive naturals, for example, 88004 + ... + 88076.

It is an arithmetic number, because the mean of its divisors is an integer number (239760).

Almost surely, 26426920 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 6426920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672320).

6426920 is an abundant number, since it is smaller than the sum of its proper divisors (8917720).

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

6426920 is a wasteful number, since it uses less digits than its factorization.

6426920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 6426920 is about 2535.1370771617. The cubic root of 6426920 is about 185.9235049844.

The spelling of 6426920 in words is "six million, four hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 71 73 124 142 146 155 248 284 292 310 355 365 568 584 620 710 730 1240 1420 1460 2201 2263 2840 2920 4402 4526 5183 8804 9052 10366 11005 11315 17608 18104 20732 22010 22630 25915 41464 44020 45260 51830 88040 90520 103660 160673 207320 321346 642692 803365 1285384 1606730 3213460 6426920