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3680190 = 2325103397
BaseRepresentation
bin1110000010011110111110
320220222021100
432002132332
51420231230
6210513530
743165263
oct16023676
96828240
103680190
112093a88
1212958a6
139bb137
146bb26a
154ca660
hex3827be

3680190 has 48 divisors (see below), whose sum is σ = 9685728. Its totient is φ = 969408.

The previous prime is 3680153. The next prime is 3680203. The reversal of 3680190 is 910863.

It is a super-2 number, since 2×36801902 = 27087596872200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9072 + ... + 9468.

It is an arithmetic number, because the mean of its divisors is an integer number (201786).

Almost surely, 23680190 is an apocalyptic number.

3680190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842864).

3680190 is an abundant number, since it is smaller than the sum of its proper divisors (6005538).

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

3680190 is a wasteful number, since it uses less digits than its factorization.

3680190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3680190 is about 1918.3821308592. The cubic root of 3680190 is about 154.3915095960.

The spelling of 3680190 in words is "three million, six hundred eighty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 397 515 618 794 927 1030 1191 1545 1854 1985 2382 3090 3573 3970 4635 5955 7146 9270 11910 17865 35730 40891 81782 122673 204455 245346 368019 408910 613365 736038 1226730 1840095 3680190