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6390432 = 253222189
BaseRepresentation
bin11000011000001010100000
3110000200000200
4120120022200
53113443212
6344545200
7105213666
oct30301240
913020020
106390432
113675254
122182200
131429929
14bc4c36
158636dc
hex6182a0

6390432 has 36 divisors (see below), whose sum is σ = 18173610. Its totient is φ = 2130048.

The previous prime is 6390431. The next prime is 6390443. The reversal of 6390432 is 2340936.

It can be written as a sum of positive squares in only one way, i.e., 5035536 + 1354896 = 2244^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×63904322 = 81675242293248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6390396 and 6390405.

It is not an unprimeable number, because it can be changed into a prime (6390431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10807 + ... + 11382.

Almost surely, 26390432 is an apocalyptic number.

It is an amenable number.

6390432 is an abundant number, since it is smaller than the sum of its proper divisors (11783178).

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

6390432 is a wasteful number, since it uses less digits than its factorization.

6390432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22205 (or 22194 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 6390432 is about 2527.9303787882. The cubic root of 6390432 is about 185.5709848618.

It can be divided in two parts, 63904 and 32, that added together give a palindrome (63936).

The spelling of 6390432 in words is "six million, three hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 22189 44378 66567 88756 133134 177512 199701 266268 355024 399402 532536 710048 798804 1065072 1597608 2130144 3195216 6390432