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3860820 = 2232589241
BaseRepresentation
bin1110101110100101010100
321021011001100
432232211110
51442021240
6214430100
744550015
oct16564524
97234040
103860820
1121a7767
121362330
13a52412
1472700c
15513e30
hex3ae954

3860820 has 72 divisors (see below), whose sum is σ = 11891880. Its totient is φ = 1013760.

The previous prime is 3860807. The next prime is 3860821. The reversal of 3860820 is 280683.

3860820 is a `hidden beast` number, since 38 + 608 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 311364 + 3549456 = 558^2 + 1884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3860821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15900 + ... + 16140.

It is an arithmetic number, because the mean of its divisors is an integer number (165165).

Almost surely, 23860820 is an apocalyptic number.

3860820 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 3860820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945940).

3860820 is an abundant number, since it is smaller than the sum of its proper divisors (8031060).

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

3860820 is a wasteful number, since it uses less digits than its factorization.

3860820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3860820 is about 1964.8969438625. The cubic root of 3860820 is about 156.8772080027.

The spelling of 3860820 in words is "three million, eight hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 241 267 356 445 482 534 723 801 890 964 1068 1205 1335 1446 1602 1780 2169 2410 2670 2892 3204 3615 4005 4338 4820 5340 7230 8010 8676 10845 14460 16020 21449 21690 42898 43380 64347 85796 107245 128694 193041 214490 257388 321735 386082 428980 643470 772164 965205 1286940 1930410 3860820