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1027008 = 26321783
BaseRepresentation
bin11111010101111000000
31221011210100
43322233000
5230331013
634002400
711505123
oct3725700
91834710
101027008
11641674
12416400
1329c5c8
141ca3ba
15154473
hexfabc0

1027008 has 42 divisors (see below), whose sum is σ = 2945384. Its totient is φ = 342144.

The previous prime is 1027003. The next prime is 1027027. The reversal of 1027008 is 8007201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027001) 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 5 ways as a sum of consecutive naturals, for example, 316 + ... + 1467.

21027008 is an apocalyptic number.

1027008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1027008 is an abundant number, since it is smaller than the sum of its proper divisors (1918376).

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

1027008 is a wasteful number, since it uses less digits than its factorization.

1027008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1027008 is about 1013.4140318744. The cubic root of 1027008 is about 100.8922813269.

The spelling of 1027008 in words is "one million, twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1783 3566 5349 7132 10698 14264 16047 21396 28528 32094 42792 57056 64188 85584 114112 128376 171168 256752 342336 513504 1027008