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5267430 = 23457929
BaseRepresentation
bin10100000101111111100110
3100220121120000
4110011333212
52322024210
6304522130
762525640
oct24057746
910817500
105267430
112a78553
121920346
13112572c
149b1890
156e0ac0
hex505fe6

5267430 has 80 divisors (see below), whose sum is σ = 16204320. Its totient is φ = 1202688.

The previous prime is 5267417. The next prime is 5267441. The reversal of 5267430 is 347625.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 5267394 and 5267403.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 5206 + ... + 6134.

It is an arithmetic number, because the mean of its divisors is an integer number (202554).

Almost surely, 25267430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5267430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102160).

5267430 is an abundant number, since it is smaller than the sum of its proper divisors (10936890).

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

5267430 is a wasteful number, since it uses less digits than its factorization.

5267430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5267430 is about 2295.0882335980. The cubic root of 5267430 is about 173.9934599207.

The spelling of 5267430 in words is "five million, two hundred sixty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 929 945 1134 1858 1890 2787 2835 4645 5574 5670 6503 8361 9290 13006 13935 16722 19509 25083 27870 32515 39018 41805 50166 58527 65030 75249 83610 97545 117054 125415 150498 175581 195090 250830 292635 351162 376245 526743 585270 752490 877905 1053486 1755810 2633715 5267430