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3685960 = 235432143
BaseRepresentation
bin1110000011111001001000
320221021012001
432003321020
51420422320
6211000344
743221145
oct16037110
96837161
103685960
112098353
1212990b4
139c0955
146bd3cc
154cc20a
hex383e48

3685960 has 32 divisors (see below), whose sum is σ = 8490240. Its totient is φ = 1439424.

The previous prime is 3685951. The next prime is 3685963. The reversal of 3685960 is 695863.

It is a super-2 number, since 2×36859602 = 27172602243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3685963) 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, 649 + ... + 2791.

It is an arithmetic number, because the mean of its divisors is an integer number (265320).

Almost surely, 23685960 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 3685960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245120).

3685960 is an abundant number, since it is smaller than the sum of its proper divisors (4804280).

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

3685960 is a wasteful number, since it uses less digits than its factorization.

3685960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 3685960 is about 1919.8854132474. The cubic root of 3685960 is about 154.4721552372.

It can be divided in two parts, 368 and 5960, that added together give a triangular number (6328 = T112).

The spelling of 3685960 in words is "three million, six hundred eighty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 2143 4286 8572 10715 17144 21430 42860 85720 92149 184298 368596 460745 737192 921490 1842980 3685960