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3681660 = 2235431427
BaseRepresentation
bin1110000010110101111100
320221001021210
432002311330
51420303120
6210524420
743202463
oct16026574
96831253
103681660
1120950a4
121296710
139bb9c8
146bb9da
154cace0
hex382d7c

3681660 has 48 divisors (see below), whose sum is σ = 10555776. Its totient is φ = 958272.

The previous prime is 3681619. The next prime is 3681683. The reversal of 3681660 is 661863.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1867 + ... + 3293.

It is an arithmetic number, because the mean of its divisors is an integer number (219912).

Almost surely, 23681660 is an apocalyptic number.

3681660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3681660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277888).

3681660 is an abundant number, since it is smaller than the sum of its proper divisors (6874116).

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

3681660 is a wasteful number, since it uses less digits than its factorization.

3681660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3681660 is about 1918.7652279526. The cubic root of 3681660 is about 154.4120633634.

The spelling of 3681660 in words is "three million, six hundred eighty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1427 2580 2854 4281 5708 7135 8562 14270 17124 21405 28540 42810 61361 85620 122722 184083 245444 306805 368166 613610 736332 920415 1227220 1840830 3681660