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5403060 = 22325132309
BaseRepresentation
bin10100100111000110110100
3101011111121100
4110213012310
52340344220
6311450100
763632235
oct24470664
911144540
105403060
113060443
121986930
1311723a0
14a0908c
1571ad90
hex5271b4

5403060 has 72 divisors (see below), whose sum is σ = 17657640. Its totient is φ = 1329408.

The previous prime is 5403017. The next prime is 5403061. The reversal of 5403060 is 603045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 4901796 = 708^2 + 2214^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5403061) 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 23 ways as a sum of consecutive naturals, for example, 1186 + ... + 3494.

It is an arithmetic number, because the mean of its divisors is an integer number (245245).

Almost surely, 25403060 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 5403060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828820).

5403060 is an abundant number, since it is smaller than the sum of its proper divisors (12254580).

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

5403060 is a wasteful number, since it uses less digits than its factorization.

5403060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5403060 is about 2324.4483216454. The cubic root of 5403060 is about 175.4741969029.

It can be divided in two parts, 540 and 3060, that added together give a square (3600 = 602).

The spelling of 5403060 in words is "five million, four hundred three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2309 2340 4618 6927 9236 11545 13854 20781 23090 27708 30017 34635 41562 46180 60034 69270 83124 90051 103905 120068 138540 150085 180102 207810 270153 300170 360204 415620 450255 540306 600340 900510 1080612 1350765 1801020 2701530 5403060