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827068021 = 13531200389
BaseRepresentation
bin110001010011000…
…000111001110101
32010122021102000221
4301103000321311
53143212134041
6214022534341
726331651013
oct6123007165
92118242027
10827068021
1139494949a
121b0b973b1
1310246c480
147bbb38b3
154c9222d1
hex314c0e75

827068021 has 8 divisors (see below), whose sum is σ = 907494840. Its totient is φ = 749042112.

The previous prime is 827068019. The next prime is 827068051. The reversal of 827068021 is 120860728.

It can be written as a sum of positive squares in 4 ways, for example, as 505521 + 826562500 = 711^2 + 28750^2 .

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

It is not a de Polignac number, because 827068021 - 21 = 827068019 is a prime.

It is a super-2 number, since 2×8270680212 = 1368083022721712882, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827068051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599506 + ... + 600883.

It is an arithmetic number, because the mean of its divisors is an integer number (113436855).

Almost surely, 2827068021 is an apocalyptic number.

It is an amenable number.

827068021 is a deficient number, since it is larger than the sum of its proper divisors (80426819).

827068021 is a wasteful number, since it uses less digits than its factorization.

827068021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200455.

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 827068021 is about 28758.7903257421. The cubic root of 827068021 is about 938.6717398854.

The spelling of 827068021 in words is "eight hundred twenty-seven million, sixty-eight thousand, twenty-one".

Divisors: 1 13 53 689 1200389 15605057 63620617 827068021