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6430072 = 231189821
BaseRepresentation
bin11000100001110101111000
3110002200101211
4120201311320
53121230242
6345452504
7105440365
oct30416570
913080354
106430072
1136a2010
1221a1134
13144199c
14bd546c
15870317
hex621d78

6430072 has 32 divisors (see below), whose sum is σ = 13316400. Its totient is φ = 2886400.

The previous prime is 6430069. The next prime is 6430079. The reversal of 6430072 is 2700346.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6430079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7422 + ... + 8242.

Almost surely, 26430072 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 6430072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658200).

6430072 is an abundant number, since it is smaller than the sum of its proper divisors (6886328).

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

6430072 is a wasteful number, since it uses less digits than its factorization.

6430072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 6430072 is about 2535.7586635956. The cubic root of 6430072 is about 185.9538946116.

The spelling of 6430072 in words is "six million, four hundred thirty thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 821 979 1642 1958 3284 3916 6568 7832 9031 18062 36124 72248 73069 146138 292276 584552 803759 1607518 3215036 6430072