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3680250 = 23537701
BaseRepresentation
bin1110000010011111111010
320220222100120
432002133322
51420232000
6210514110
743165410
oct16023772
96828316
103680250
112094032
121295936
139bb182
146bb2b0
154ca6a0
hex3827fa

3680250 has 64 divisors (see below), whose sum is σ = 10513152. Its totient is φ = 840000.

The previous prime is 3680249. The next prime is 3680263. The reversal of 3680250 is 520863.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3680250.

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 31 ways as a sum of consecutive naturals, for example, 4900 + ... + 5600.

It is an arithmetic number, because the mean of its divisors is an integer number (164268).

Almost surely, 23680250 is an apocalyptic number.

3680250 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 3680250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256576).

3680250 is an abundant number, since it is smaller than the sum of its proper divisors (6832902).

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

3680250 is a wasteful number, since it uses less digits than its factorization.

3680250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3680250 is about 1918.3977689728. The cubic root of 3680250 is about 154.3923486324.

The spelling of 3680250 in words is "three million, six hundred eighty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 701 750 875 1050 1402 1750 2103 2625 3505 4206 4907 5250 7010 9814 10515 14721 17525 21030 24535 29442 35050 49070 52575 73605 87625 105150 122675 147210 175250 245350 262875 368025 525750 613375 736050 1226750 1840125 3680250