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3680775 = 335271941
BaseRepresentation
bin1110000010101000000111
320221000002000
432002220013
51420241100
6210520343
743200060
oct16025007
96830060
103680775
11209446a
1212960b3
139bb497
146bb567
154ca900
hex382a07

3680775 has 96 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 1555200.

The previous prime is 3680753. The next prime is 3680791. The reversal of 3680775 is 5770863.

It is not a de Polignac number, because 3680775 - 27 = 3680647 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89755 + ... + 89795.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

Almost surely, 23680775 is an apocalyptic number.

3680775 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3680775 is an abundant number, since it is smaller than the sum of its proper divisors (4652025).

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

3680775 is a wasteful number, since it uses less digits than its factorization.

3680775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3680775 is about 1918.5345970297. The cubic root of 3680775 is about 154.3996898121.

The spelling of 3680775 in words is "three million, six hundred eighty thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 41 45 57 63 75 95 105 123 133 135 171 175 189 205 225 285 287 315 369 399 475 513 525 615 665 675 779 855 861 945 1025 1107 1197 1425 1435 1575 1845 1995 2337 2565 2583 3075 3325 3591 3895 4275 4305 4725 5453 5535 5985 7011 7175 7749 9225 9975 11685 12825 12915 16359 17955 19475 21033 21525 27265 27675 29925 35055 38745 49077 58425 64575 81795 89775 105165 136325 147231 175275 193725 245385 408975 525825 736155 1226925 3680775