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5426460 = 2233513773
BaseRepresentation
bin10100101100110100011100
3101012200201000
4110230310130
52342121320
6312150300
764060404
oct24546434
911180630
105426460
113076a86
121998390
13117cc30
14a13804
15722c90
hex52cd1c

5426460 has 96 divisors (see below), whose sum is σ = 18204480. Its totient is φ = 1334016.

The previous prime is 5426453. The next prime is 5426461. The reversal of 5426460 is 646245.

It is a happy number.

5426460 is a `hidden beast` number, since 542 + 64 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5426461) 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 31 ways as a sum of consecutive naturals, for example, 6634 + ... + 7406.

It is an arithmetic number, because the mean of its divisors is an integer number (189630).

Almost surely, 25426460 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 5426460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9102240).

5426460 is an abundant number, since it is smaller than the sum of its proper divisors (12778020).

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

5426460 is a wasteful number, since it uses less digits than its factorization.

5426460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5426460 is about 2329.4763360034. The cubic root of 5426460 is about 175.7271512633.

It can be divided in two parts, 5426 and 460, that added together give a triangular number (5886 = T108).

The spelling of 5426460 in words is "five million, four hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 773 780 1170 1404 1546 1755 2319 2340 3092 3510 3865 4638 6957 7020 7730 9276 10049 11595 13914 15460 20098 20871 23190 27828 30147 34785 40196 41742 46380 50245 60294 69570 83484 90441 100490 104355 120588 139140 150735 180882 200980 208710 271323 301470 361764 417420 452205 542646 602940 904410 1085292 1356615 1808820 2713230 5426460