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5330920 = 235779241
BaseRepresentation
bin10100010101011111101000
3101000211122111
4110111133220
52331042140
6310132104
763212020
oct24253750
911024574
105330920
113011221
121951034
1311485ba
149caa80
157047ea
hex5157e8

5330920 has 64 divisors (see below), whose sum is σ = 13939200. Its totient is φ = 1797120.

The previous prime is 5330909. The next prime is 5330921. The reversal of 5330920 is 290335.

5330920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 5330891 and 5330900.

It is not an unprimeable number, because it can be changed into a prime (5330921) 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, 22000 + ... + 22240.

It is an arithmetic number, because the mean of its divisors is an integer number (217800).

Almost surely, 25330920 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 5330920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969600).

5330920 is an abundant number, since it is smaller than the sum of its proper divisors (8608280).

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

5330920 is a wasteful number, since it uses less digits than its factorization.

5330920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 5330920 is about 2308.8785156435. The cubic root of 5330920 is about 174.6897359607.

The spelling of 5330920 in words is "five million, three hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 241 280 316 395 482 553 632 790 964 1106 1205 1580 1687 1928 2212 2410 2765 3160 3374 4424 4820 5530 6748 8435 9640 11060 13496 16870 19039 22120 33740 38078 67480 76156 95195 133273 152312 190390 266546 380780 533092 666365 761560 1066184 1332730 2665460 5330920