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5426520 = 2335114111
BaseRepresentation
bin10100101100110101011000
3101012200210020
4110230311120
52342122040
6312150440
764060521
oct24546530
911180706
105426520
113077030
121998420
13117cc78
14a13848
15722cd0
hex52cd58

5426520 has 64 divisors (see below), whose sum is σ = 17763840. Its totient is φ = 1315200.

The previous prime is 5426513. The next prime is 5426527. The reversal of 5426520 is 256245.

It is an interprime number because it is at equal distance from previous prime (5426513) and next prime (5426527).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5426527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736 + ... + 3375.

It is an arithmetic number, because the mean of its divisors is an integer number (277560).

Almost surely, 25426520 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 5426520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881920).

5426520 is an abundant number, since it is smaller than the sum of its proper divisors (12337320).

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

5426520 is a wasteful number, since it uses less digits than its factorization.

5426520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5426520 is about 2329.4892143987. The cubic root of 5426520 is about 175.7277989286.

It can be divided in two parts, 54265 and 20, that added together give a triangular number (54285 = T329).

The spelling of 5426520 in words is "five million, four hundred twenty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 4111 8222 12333 16444 20555 24666 32888 41110 45221 49332 61665 82220 90442 98664 123330 135663 164440 180884 226105 246660 271326 361768 452210 493320 542652 678315 904420 1085304 1356630 1808840 2713260 5426520