Search a number
-
+
3865840 = 2451123191
BaseRepresentation
bin1110101111110011110000
321021101221021
432233303300
51442201330
6214505224
744600446
oct16576360
97241837
103865840
112200510
121365214
13a547a4
14728b96
1551567a
hex3afcf0

3865840 has 80 divisors (see below), whose sum is σ = 10285056. Its totient is φ = 1337600.

The previous prime is 3865819. The next prime is 3865847. The reversal of 3865840 is 485683.

3865840 is digitally balanced in base 5, because in such base 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 3865796 and 3865805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3865847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20145 + ... + 20335.

Almost surely, 23865840 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 3865840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142528).

3865840 is an abundant number, since it is smaller than the sum of its proper divisors (6419216).

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

3865840 is a wasteful number, since it uses less digits than its factorization.

3865840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 3865840 is about 1966.1739495782. The cubic root of 3865840 is about 156.9451713288.

It can be divided in two parts, 386 and 5840, that added together give a palindrome (6226).

The spelling of 3865840 in words is "three million, eight hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 191 220 230 253 368 382 440 460 506 764 880 920 955 1012 1265 1528 1840 1910 2024 2101 2530 3056 3820 4048 4202 4393 5060 7640 8404 8786 10120 10505 15280 16808 17572 20240 21010 21965 33616 35144 42020 43930 48323 70288 84040 87860 96646 168080 175720 193292 241615 351440 386584 483230 773168 966460 1932920 3865840