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5403006 = 2327137313
BaseRepresentation
bin10100100111000101111110
3101011111112100
4110213011332
52340344011
6311445530
763632130
oct24470576
911144470
105403006
1130603a4
1219868a6
13117235b
14a09050
1571ad56
hex52717e

5403006 has 48 divisors (see below), whose sum is σ = 13519584. Its totient is φ = 1527552.

The previous prime is 5402977. The next prime is 5403007. The reversal of 5403006 is 6003045.

It is a happy number.

It is a super-3 number, since 3×54030063 (a number of 21 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5403006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5403007) 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 23 ways as a sum of consecutive naturals, for example, 17106 + ... + 17418.

It is an arithmetic number, because the mean of its divisors is an integer number (281658).

Almost surely, 25403006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5403006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759792).

5403006 is an abundant number, since it is smaller than the sum of its proper divisors (8116578).

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

5403006 is a wasteful number, since it uses less digits than its factorization.

5403006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 462 counting only the distinct ones).

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

The square root of 5403006 is about 2324.4367059570. The cubic root of 5403006 is about 175.4736123182.

The spelling of 5403006 in words is "five million, four hundred three thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 313 411 626 822 939 959 1233 1878 1918 2191 2466 2817 2877 4382 5634 5754 6573 8631 13146 17262 19719 39438 42881 85762 128643 257286 300167 385929 600334 771858 900501 1801002 2701503 5403006