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1072077327 = 321011179403
BaseRepresentation
bin111111111001101…
…001101000001111
32202201022011121200
4333321221220033
54143422433302
6254214200543
735365335606
oct7771515017
92681264550
101072077327
11500183622
1225b053153
131411553a9
14a2550a3d
15641bc81c
hex3fe69a0f

1072077327 has 12 divisors (see below), whose sum is σ = 1563889704. Its totient is φ = 707641200.

The previous prime is 1072077323. The next prime is 1072077329. The reversal of 1072077327 is 7237702701.

It is not a de Polignac number, because 1072077327 - 22 = 1072077323 is a prime.

It is a super-2 number, since 2×10720773272 = 2298699590134929858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1072077291 and 1072077300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072077323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588793 + ... + 590610.

It is an arithmetic number, because the mean of its divisors is an integer number (130324142).

Almost surely, 21072077327 is an apocalyptic number.

1072077327 is a deficient number, since it is larger than the sum of its proper divisors (491812377).

1072077327 is a wasteful number, since it uses less digits than its factorization.

1072077327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179510 (or 1179507 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 1072077327 is about 32742.5919407734. The cubic root of 1072077327 is about 1023.4705970022.

The spelling of 1072077327 in words is "one billion, seventy-two million, seventy-seven thousand, three hundred twenty-seven".

Divisors: 1 3 9 101 303 909 1179403 3538209 10614627 119119703 357359109 1072077327