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1006897820 = 225107470513
BaseRepresentation
bin111100000001000…
…000101010011100
32121011122201010212
4330001000222130
54030231212240
6243525151552
733644330105
oct7401005234
92534581125
101006897820
11477405265
1224125b5b8
131307b3a36
1497a253ac
155d5e5165
hex3c040a9c

1006897820 has 24 divisors (see below), whose sum is σ = 2134251504. Its totient is φ = 398994176.

The previous prime is 1006897819. The next prime is 1006897823. The reversal of 1006897820 is 287986001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006897823) 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, 233117 + ... + 237396.

It is an arithmetic number, because the mean of its divisors is an integer number (88927146).

Almost surely, 21006897820 is an apocalyptic number.

1006897820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006897820 is an abundant number, since it is smaller than the sum of its proper divisors (1127353684).

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

1006897820 is a wasteful number, since it uses less digits than its factorization.

1006897820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470629 (or 470627 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 1006897820 is about 31731.6532818572. The cubic root of 1006897820 is about 1002.2940068419.

The spelling of 1006897820 in words is "one billion, six million, eight hundred ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 470513 941026 1882052 2352565 4705130 9410260 50344891 100689782 201379564 251724455 503448910 1006897820