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3812820 = 22351153109
BaseRepresentation
bin1110100010110111010100
321011201012120
432202313110
51434002240
6213415540
744260044
oct16426724
97151176
103812820
1121746a0
12133a5b0
13a3660b
14713724
15504ad0
hex3a2dd4

3812820 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 898560.

The previous prime is 3812819. The next prime is 3812839. The reversal of 3812820 is 282183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34926 + ... + 35034.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 23812820 is an apocalyptic number.

3812820 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 3812820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

3812820 is an abundant number, since it is smaller than the sum of its proper divisors (8162220).

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

3812820 is a wasteful number, since it uses less digits than its factorization.

3812820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3812820 is about 1952.6443608604. The cubic root of 3812820 is about 156.2243648611.

The spelling of 3812820 in words is "three million, eight hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 109 110 132 159 165 212 218 220 265 318 327 330 436 530 545 583 636 654 660 795 1060 1090 1166 1199 1308 1590 1635 1749 2180 2332 2398 2915 3180 3270 3498 3597 4796 5777 5830 5995 6540 6996 7194 8745 11554 11660 11990 14388 17331 17490 17985 23108 23980 28885 34662 34980 35970 57770 63547 69324 71940 86655 115540 127094 173310 190641 254188 317735 346620 381282 635470 762564 953205 1270940 1906410 3812820