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3680920 = 235234001
BaseRepresentation
bin1110000010101010011000
320221000021101
432002222120
51420242140
6210521144
743200355
oct16025230
96830241
103680920
112094591
1212961b4
139bb579
146bb62c
154ca99a
hex382a98

3680920 has 32 divisors (see below), whose sum is σ = 8644320. Its totient is φ = 1408000.

The previous prime is 3680917. The next prime is 3680947. The reversal of 3680920 is 290863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081 + ... + 2920.

It is an arithmetic number, because the mean of its divisors is an integer number (270135).

Almost surely, 23680920 is an apocalyptic number.

It is an amenable number.

3680920 is an abundant number, since it is smaller than the sum of its proper divisors (4963400).

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

3680920 is a wasteful number, since it uses less digits than its factorization.

3680920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3680920 is about 1918.5723859162. The cubic root of 3680920 is about 154.4017172530.

It can be divided in two parts, 3680 and 920, that multiplied together give a square (3385600 = 18402).

The spelling of 3680920 in words is "three million, six hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 4001 8002 16004 20005 32008 40010 80020 92023 160040 184046 368092 460115 736184 920230 1840460 3680920