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1063424 = 293167
BaseRepresentation
bin100000011101000000000
32000000202002
410003220000
5233012144
634443132
712016235
oct4035000
92000662
101063424
11666a6a
124334a8
132b305b
141d978c
1516014e
hex103a00

1063424 has 40 divisors (see below), whose sum is σ = 2226048. Its totient is φ = 506880.

The previous prime is 1063409. The next prime is 1063427. The reversal of 1063424 is 4243601.

It is a happy number.

It is a super-2 number, since 2×10634242 = 2261741207552, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1063396 and 1063405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15839 + ... + 15905.

21063424 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 1063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113024).

1063424 is an abundant number, since it is smaller than the sum of its proper divisors (1162624).

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

1063424 is an frugal number, since it uses more digits than its factorization.

1063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1063424 is about 1031.2245148366. The cubic root of 1063424 is about 102.0709489720.

The spelling of 1063424 in words is "one million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 248 256 268 496 512 536 992 1072 1984 2077 2144 3968 4154 4288 7936 8308 8576 15872 16616 17152 33232 34304 66464 132928 265856 531712 1063424