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3680240 = 245179257
BaseRepresentation
bin1110000010011111110000
320220222100012
432002133300
51420231430
6210514052
743165364
oct16023760
96828305
103680240
112094023
121295928
139bb175
146bb2a4
154ca695
hex3827f0

3680240 has 40 divisors (see below), whose sum is σ = 8637840. Its totient is φ = 1458176.

The previous prime is 3680213. The next prime is 3680249. The reversal of 3680240 is 420863.

It is a happy number.

3680240 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680249) 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 7 ways as a sum of consecutive naturals, for example, 14192 + ... + 14448.

It is an arithmetic number, because the mean of its divisors is an integer number (215946).

Almost surely, 23680240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318920).

3680240 is an abundant number, since it is smaller than the sum of its proper divisors (4957600).

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

3680240 is a wasteful number, since it uses less digits than its factorization.

3680240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3680240 is about 1918.3951626294. The cubic root of 3680240 is about 154.3922087937.

The spelling of 3680240 in words is "three million, six hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 257 358 514 716 895 1028 1285 1432 1790 2056 2570 2864 3580 4112 5140 7160 10280 14320 20560 46003 92006 184012 230015 368024 460030 736048 920060 1840120 3680240