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3680505 = 335137199
BaseRepresentation
bin1110000010100011111001
320220222201000
432002203321
51420234010
6210515213
743166223
oct16024371
96828630
103680505
112094244
121295b09
139bb31a
146bb413
154ca7c0
hex3828f9

3680505 has 32 divisors (see below), whose sum is σ = 6624000. Its totient is φ = 1938816.

The previous prime is 3680503. The next prime is 3680507. The reversal of 3680505 is 5050863.

3680505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3680503) and next prime (3680507).

It is not a de Polignac number, because 3680505 - 21 = 3680503 is a prime.

It is a super-2 number, since 2×36805052 = 27092234110050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

3680505 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3680503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18396 + ... + 18594.

It is an arithmetic number, because the mean of its divisors is an integer number (207000).

Almost surely, 23680505 is an apocalyptic number.

It is an amenable number.

3680505 is a deficient number, since it is larger than the sum of its proper divisors (2943495).

3680505 is a wasteful number, since it uses less digits than its factorization.

3680505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3680505 is about 1918.4642295336. The cubic root of 3680505 is about 154.3959144355.

The spelling of 3680505 in words is "three million, six hundred eighty thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 135 137 199 411 597 685 995 1233 1791 2055 2985 3699 5373 6165 8955 18495 26865 27263 81789 136315 245367 408945 736101 1226835 3680505