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1020681477 = 322914332729
BaseRepresentation
bin111100110101100…
…101110100000101
32122010120222202200
4330311211310011
54042243301402
6245140425113
734202435514
oct7465456405
92563528680
101020681477
1148416a112
122459a8199
131335cb84a
14997b267b
155e91921c
hex3cd65d05

1020681477 has 24 divisors (see below), whose sum is σ = 1526779800. Its totient is φ = 656291328.

The previous prime is 1020681443. The next prime is 1020681491. The reversal of 1020681477 is 7741860201.

1020681477 is a `hidden beast` number, since 102 + 0 + 6 + 81 + 477 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 607819716 + 412861761 = 24654^2 + 20319^2 .

It is not a de Polignac number, because 1020681477 - 26 = 1020681413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020681407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372649 + ... + 375377.

It is an arithmetic number, because the mean of its divisors is an integer number (63615825).

Almost surely, 21020681477 is an apocalyptic number.

It is an amenable number.

1020681477 is a deficient number, since it is larger than the sum of its proper divisors (506098323).

1020681477 is a wasteful number, since it uses less digits than its factorization.

1020681477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1020681477 is about 31948.1060001998. The cubic root of 1020681477 is about 1006.8468394645.

The spelling of 1020681477 in words is "one billion, twenty million, six hundred eighty-one thousand, four hundred seventy-seven".

Divisors: 1 3 9 29 87 261 1433 2729 4299 8187 12897 24561 41557 79141 124671 237423 374013 712269 3910657 11731971 35195913 113409053 340227159 1020681477