Search a number
-
+
6429024 = 253371063
BaseRepresentation
bin11000100001100101100000
3110002121222000
4120201211200
53121212044
6345444000
7105434340
oct30414540
913077860
106429024
1136a1248
1221a0600
131441374
14bd4d20
1586ed69
hex621960

6429024 has 96 divisors (see below), whose sum is σ = 21450240. Its totient is φ = 1835136.

The previous prime is 6429019. The next prime is 6429047. The reversal of 6429024 is 4209246.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 5517 + ... + 6579.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 26429024 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 6429024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725120).

6429024 is an abundant number, since it is smaller than the sum of its proper divisors (15021216).

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

6429024 is a wasteful number, since it uses less digits than its factorization.

6429024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6429024 is about 2535.5520109041. The cubic root of 6429024 is about 185.9437915485.

The spelling of 6429024 in words is "six million, four hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1063 1512 2016 2126 3024 3189 4252 6048 6378 7441 8504 9567 12756 14882 17008 19134 22323 25512 28701 29764 34016 38268 44646 51024 57402 59528 66969 76536 89292 102048 114804 119056 133938 153072 178584 200907 229608 238112 267876 306144 357168 401814 459216 535752 714336 803628 918432 1071504 1607256 2143008 3214512 6429024