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3685994000 = 245313141769
BaseRepresentation
bin1101101110110011…
…1100111000010000
3100111212211220012022
43123230330320100
530022103302000
61405431351012
7160225301123
oct33354747020
910455756168
103685994000
111621713937
1286a522468
1346985b850
1426d7763ba
151688eb585
hexdbb3ce10

3685994000 has 80 divisors (see below), whose sum is σ = 9598396080. Its totient is φ = 1360972800.

The previous prime is 3685993981. The next prime is 3685994003. The reversal of 3685994000 is 4995863.

It can be written as a sum of positive squares in 8 ways, for example, as 1446433024 + 2239560976 = 38032^2 + 47324^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3685994003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44885 + ... + 96884.

It is an arithmetic number, because the mean of its divisors is an integer number (119979951).

Almost surely, 23685994000 is an apocalyptic number.

It is an amenable number.

3685994000 is an abundant number, since it is smaller than the sum of its proper divisors (5912402080).

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

3685994000 is a wasteful number, since it uses less digits than its factorization.

3685994000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141805 (or 141789 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 3685994000 is about 60712.3875333527. The cubic root of 3685994000 is about 1544.7263019602.

The spelling of 3685994000 in words is "three billion, six hundred eighty-five million, nine hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 141769 283538 567076 708845 1134152 1417690 1842997 2268304 2835380 3544225 3685994 5670760 7088450 7371988 9214985 11341520 14176900 14743976 17721125 18429970 28353800 29487952 35442250 36859940 46074925 56707600 70884500 73719880 92149850 141769000 147439760 184299700 230374625 283538000 368599400 460749250 737198800 921498500 1842997000 3685994000