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1006959317 = 71317650911
BaseRepresentation
bin111100000001001…
…111101011010101
32121011202211111112
4330001033223111
54030240144232
6243530344405
733645004310
oct7401175325
92534684445
101006959317
11477447491
1224128b105
13130805a20
1497a3d977
155d6084b2
hex3c04fad5

1006959317 has 16 divisors (see below), whose sum is σ = 1312238592. Its totient is φ = 749848320.

The previous prime is 1006959311. The next prime is 1006959319. The reversal of 1006959317 is 7139596001.

It is not a de Polignac number, because 1006959317 - 24 = 1006959301 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006959311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323909 + ... + 327002.

It is an arithmetic number, because the mean of its divisors is an integer number (82014912).

Almost surely, 21006959317 is an apocalyptic number.

1006959317 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1006959317 is a deficient number, since it is larger than the sum of its proper divisors (305279275).

1006959317 is a wasteful number, since it uses less digits than its factorization.

1006959317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650948.

The product of its (nonzero) digits is 51030, while the sum is 41.

The square root of 1006959317 is about 31732.6222837004. The cubic root of 1006959317 is about 1002.3144116994.

The spelling of 1006959317 in words is "one billion, six million, nine hundred fifty-nine thousand, three hundred seventeen".

Divisors: 1 7 13 17 91 119 221 1547 650911 4556377 8461843 11065487 59232901 77458409 143851331 1006959317