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3685020200 = 235225771693
BaseRepresentation
bin1101101110100100…
…1111001000101000
3100111211000102101122
43123221033020220
530021331121300
61405354434412
7160214104061
oct33351171050
910454012348
103685020200
111621109244
1286a132a08
134695aa534
1426d5a1568
151687a7c85
hexdba4f228

3685020200 has 48 divisors (see below), whose sum is σ = 8601129180. Its totient is φ = 1468252160.

The previous prime is 3685020197. The next prime is 3685020211. The reversal of 3685020200 is 20205863.

3685020200 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 6 ways, for example, as 1923875044 + 1761145156 = 43862^2 + 41966^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3685020200.

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, 15554 + ... + 87246.

Almost surely, 23685020200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3685020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300564590).

3685020200 is an abundant number, since it is smaller than the sum of its proper divisors (4916108980).

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

3685020200 is a wasteful number, since it uses less digits than its factorization.

3685020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71966 (or 71957 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3685020200 is about 60704.3672234544. The cubic root of 3685020200 is about 1544.5902566165.

The spelling of 3685020200 in words is "three billion, six hundred eighty-five million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 257 514 1028 1285 2056 2570 5140 6425 10280 12850 25700 51400 71693 143386 286772 358465 573544 716930 1433860 1792325 2867720 3584650 7169300 14338600 18425101 36850202 73700404 92125505 147400808 184251010 368502020 460627525 737004040 921255050 1842510100 3685020200