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5430390 = 2357191361
BaseRepresentation
bin10100101101110001110110
3101012220002120
4110231301312
52342233030
6312220410
764105020
oct24556166
911186076
105430390
113079a29
12199a706
131181964
14a15010
15724010
hex52dc76

5430390 has 64 divisors (see below), whose sum is σ = 15690240. Its totient is φ = 1175040.

The previous prime is 5430389. The next prime is 5430391. The reversal of 5430390 is 930345.

It is an interprime number because it is at equal distance from previous prime (5430389) and next prime (5430391).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5430390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3310 + ... + 4670.

It is an arithmetic number, because the mean of its divisors is an integer number (245160).

Almost surely, 25430390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5430390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845120).

5430390 is an abundant number, since it is smaller than the sum of its proper divisors (10259850).

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

5430390 is a wasteful number, since it uses less digits than its factorization.

5430390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 5430390 is about 2330.3197205534. The cubic root of 5430390 is about 175.7695632625.

The spelling of 5430390 in words is "five million, four hundred thirty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1361 1995 2722 3990 4083 6805 8166 9527 13610 19054 20415 25859 28581 40830 47635 51718 57162 77577 95270 129295 142905 155154 181013 258590 285810 362026 387885 543039 775770 905065 1086078 1810130 2715195 5430390