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3683540 = 225783317
BaseRepresentation
bin1110000011010011010100
320221010212102
432003103110
51420333130
6210541232
743211120
oct16032324
96833772
103683540
112096553
121297818
139bc813
146bc580
154cb645
hex3834d4

3683540 has 48 divisors (see below), whose sum is σ = 8975232. Its totient is φ = 1243776.

The previous prime is 3683527. The next prime is 3683569. The reversal of 3683540 is 453863.

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, 11462 + ... + 11778.

It is an arithmetic number, because the mean of its divisors is an integer number (186984).

Almost surely, 23683540 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 3683540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487616).

3683540 is an abundant number, since it is smaller than the sum of its proper divisors (5291692).

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

3683540 is a wasteful number, since it uses less digits than its factorization.

3683540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 3683540 is about 1919.2550638203. The cubic root of 3683540 is about 154.4383418430.

The spelling of 3683540 in words is "three million, six hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 317 332 415 581 634 830 1162 1268 1585 1660 2219 2324 2905 3170 4438 5810 6340 8876 11095 11620 22190 26311 44380 52622 105244 131555 184177 263110 368354 526220 736708 920885 1841770 3683540