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5681424 = 243737457
BaseRepresentation
bin10101101011000100010000
3101200122110010
4111223010100
52423301144
6321434520
766201630
oct25530420
911618403
105681424
1132305a1
121a9ba40
13123bcb8
14a7c6c0
157735b9
hex56b110

5681424 has 80 divisors (see below), whose sum is σ = 17264768. Its totient is φ = 1575936.

The previous prime is 5681413. The next prime is 5681447. The reversal of 5681424 is 4241865.

Its product of digits (7680) is a multiple of the sum of its prime factors (512).

It is a junction number, because it is equal to n+sod(n) for n = 5681391 and 5681400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12204 + ... + 12660.

Almost surely, 25681424 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 5681424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632384).

5681424 is an abundant number, since it is smaller than the sum of its proper divisors (11583344).

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

5681424 is a wasteful number, since it uses less digits than its factorization.

5681424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 5681424 is about 2383.5737874041. The cubic root of 5681424 is about 178.4373372621.

It can be divided in two parts, 5681 and 424, that added together give a triangular number (6105 = T110).

The spelling of 5681424 in words is "five million, six hundred eighty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 457 518 592 777 888 914 1036 1371 1554 1776 1828 2072 2742 3108 3199 3656 4144 5484 6216 6398 7312 9597 10968 12432 12796 16909 19194 21936 25592 33818 38388 50727 51184 67636 76776 101454 118363 135272 153552 202908 236726 270544 355089 405816 473452 710178 811632 946904 1420356 1893808 2840712 5681424