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6884020900 = 225282972
BaseRepresentation
bin1100110100101000…
…11101001010100100
3122202202111111101001
412122110131022210
5103044302132100
63055032243044
7332410132531
oct63224351244
918682444331
106884020900
112a12939879
121401540484
13859289263
144943a9d88
152a4559d6a
hex19a51d2a4

6884020900 has 27 divisors (see below), whose sum is σ = 14940126019. Its totient is φ = 2753276480.

The previous prime is 6884020889. The next prime is 6884020951. The reversal of 6884020900 is 90204886.

The square root of 6884020900 is 82970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1915462756 + 4968558144 = 43766^2 + 70488^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6884020900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 825552 + ... + 833848.

Almost surely, 26884020900 is an apocalyptic number.

6884020900 is the 82970-th square number.

It is an amenable number.

6884020900 is an abundant number, since it is smaller than the sum of its proper divisors (8056105119).

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

6884020900 is an frugal number, since it uses more digits than its factorization.

6884020900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16608 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 6884020900 is about 1902.3075288075.

The spelling of 6884020900 in words is "six billion, eight hundred eighty-four million, twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 8297 16594 33188 41485 82970 165940 207425 414850 829700 68840209 137680418 275360836 344201045 688402090 1376804180 1721005225 3442010450 6884020900