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1006818804 = 2232136120549
BaseRepresentation
bin111100000000101…
…101010111110100
32121011111200202100
4330000231113310
54030221200204
6243523342100
733643550535
oct7400552764
92534450670
101006818804
11477360962
12241221930
13130786a94
1497a0468c
155d5cba39
hex3c02d5f4

1006818804 has 36 divisors (see below), whose sum is σ = 2547008100. Its totient is φ = 335343360.

The previous prime is 1006818751. The next prime is 1006818817. The reversal of 1006818804 is 4088186001.

1006818804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 645058404 + 361760400 = 25398^2 + 19020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38722 + ... + 59270.

It is an arithmetic number, because the mean of its divisors is an integer number (70750225).

Almost surely, 21006818804 is an apocalyptic number.

It is an amenable number.

1006818804 is an abundant number, since it is smaller than the sum of its proper divisors (1540189296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006818804 is a wasteful number, since it uses less digits than its factorization.

1006818804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21920 (or 21915 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1006818804 is about 31730.4081915124. The cubic root of 1006818804 is about 1002.2677879170.

The spelling of 1006818804 in words is "one billion, six million, eight hundred eighteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 1361 2722 4083 5444 8166 12249 16332 20549 24498 41098 48996 61647 82196 123294 184941 246588 369882 739764 27967189 55934378 83901567 111868756 167803134 251704701 335606268 503409402 1006818804