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3860120 = 2351131283
BaseRepresentation
bin1110101110011010011000
321021010002102
432232122120
51442010440
6214422532
744544665
oct16563230
97233072
103860120
1121a7190
121361a48
13a51cc4
14726a6c
15513b15
hex3ae698

3860120 has 64 divisors (see below), whose sum is σ = 9815040. Its totient is φ = 1353600.

The previous prime is 3860117. The next prime is 3860123. The reversal of 3860120 is 210683.

It is an interprime number because it is at equal distance from previous prime (3860117) and next prime (3860123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3860092 and 3860101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3860123) 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, 13499 + ... + 13781.

It is an arithmetic number, because the mean of its divisors is an integer number (153360).

Almost surely, 23860120 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 3860120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907520).

3860120 is an abundant number, since it is smaller than the sum of its proper divisors (5954920).

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

3860120 is a wasteful number, since it uses less digits than its factorization.

3860120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3860120 is about 1964.7188093974. The cubic root of 3860120 is about 156.8677263655.

The spelling of 3860120 in words is "three million, eight hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 283 310 341 440 566 620 682 1132 1240 1364 1415 1705 2264 2728 2830 3113 3410 5660 6226 6820 8773 11320 12452 13640 15565 17546 24904 31130 35092 43865 62260 70184 87730 96503 124520 175460 193006 350920 386012 482515 772024 965030 1930060 3860120