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1006948693 = 5954131547
BaseRepresentation
bin111100000001001…
…101000101010101
32121011202021221001
4330001031011111
54030234324233
6243530223301
733644631322
oct7401150525
92534667831
101006948693
1147743a503
12241284b31
13130800c3a
1497a39b49
155d60527d
hex3c04d155

1006948693 has 8 divisors (see below), whose sum is σ = 1025940960. Its totient is φ = 988020720.

The previous prime is 1006948687. The next prime is 1006948699. The reversal of 1006948693 is 3968496001.

It is an interprime number because it is at equal distance from previous prime (1006948687) and next prime (1006948699).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006948693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006948699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16146 + ... + 47692.

It is an arithmetic number, because the mean of its divisors is an integer number (128242620).

Almost surely, 21006948693 is an apocalyptic number.

It is an amenable number.

1006948693 is a deficient number, since it is larger than the sum of its proper divisors (18992267).

1006948693 is an equidigital number, since it uses as much as digits as its factorization.

1006948693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32147.

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 1006948693 is about 31732.4548845500. The cubic root of 1006948693 is about 1002.3108866892.

The spelling of 1006948693 in words is "one billion, six million, nine hundred forty-eight thousand, six hundred ninety-three".

Divisors: 1 59 541 31547 31919 1861273 17066927 1006948693