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1068032 = 2107149
BaseRepresentation
bin100000100110000000000
32000021001202
410010300000
5233134112
634520332
712035540
oct4046000
92007052
101068032
1166a479
124360a8
132b5194
141db320
151616c2
hex104c00

1068032 has 44 divisors (see below), whose sum is σ = 2456400. Its totient is φ = 454656.

The previous prime is 1068019. The next prime is 1068037. The reversal of 1068032 is 2308601.

It is a super-2 number, since 2×10680322 = 2281384706048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1067995 and 1068013.

It is not an unprimeable number, because it can be changed into a prime (1068037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7094 + ... + 7242.

21068032 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 1068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228200).

1068032 is an abundant number, since it is smaller than the sum of its proper divisors (1388368).

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

1068032 is an equidigital number, since it uses as much as digits as its factorization.

1068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1068032 is about 1033.4563367651. The cubic root of 1068032 is about 102.2181668909.

The spelling of 1068032 in words is "one million, sixty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 256 298 448 512 596 896 1024 1043 1192 1792 2086 2384 3584 4172 4768 7168 8344 9536 16688 19072 33376 38144 66752 76288 133504 152576 267008 534016 1068032