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5428320 = 253543263
BaseRepresentation
bin10100101101010001100000
3101012210020220
4110231101200
52342201240
6312203040
764066002
oct24552140
911183226
105428320
113078417
121999480
131180a31
14a14372
157235d0
hex52d460

5428320 has 96 divisors (see below), whose sum is σ = 17563392. Its totient is φ = 1408512.

The previous prime is 5428303. The next prime is 5428331. The reversal of 5428320 is 238245.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20509 + ... + 20771.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 25428320 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 5428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781696).

5428320 is an abundant number, since it is smaller than the sum of its proper divisors (12135072).

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

5428320 is a wasteful number, since it uses less digits than its factorization.

5428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5428320 is about 2329.8755331562. The cubic root of 5428320 is about 175.7472266694.

The spelling of 5428320 in words is "five million, four hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 263 344 430 480 516 526 645 688 789 860 1032 1052 1290 1315 1376 1578 1720 2064 2104 2580 2630 3156 3440 3945 4128 4208 5160 5260 6312 6880 7890 8416 10320 10520 11309 12624 15780 20640 21040 22618 25248 31560 33927 42080 45236 56545 63120 67854 90472 113090 126240 135708 169635 180944 226180 271416 339270 361888 452360 542832 678540 904720 1085664 1357080 1809440 2714160 5428320