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3865920 = 26354027
BaseRepresentation
bin1110101111110101000000
321021102001020
432233311000
51442202140
6214505440
744600622
oct16576500
97242036
103865920
112200583
121365280
13a54836
14728c12
155156d0
hex3afd40

3865920 has 56 divisors (see below), whose sum is σ = 12277344. Its totient is φ = 1030656.

The previous prime is 3865913. The next prime is 3865933. The reversal of 3865920 is 295683.

It is a happy number.

It is a super-3 number, since 3×38659203 (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1054 + ... + 2973.

Almost surely, 23865920 is an apocalyptic number.

3865920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3865920 is an abundant number, since it is smaller than the sum of its proper divisors (8411424).

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

3865920 is a wasteful number, since it uses less digits than its factorization.

3865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3865920 is about 1966.1942935529. The cubic root of 3865920 is about 156.9462539333.

The spelling of 3865920 in words is "three million, eight hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4027 8054 12081 16108 20135 24162 32216 40270 48324 60405 64432 80540 96648 120810 128864 161080 193296 241620 257728 322160 386592 483240 644320 773184 966480 1288640 1932960 3865920