Search a number
-
+
3941820 = 2232561359
BaseRepresentation
bin1111000010010110111100
321102021011100
433002112330
52002114240
6220253100
745335121
oct17022674
97367140
103941820
112252603
1213a1190
13a8024c
14748748
1552ce30
hex3c25bc

3941820 has 72 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1031040.

The previous prime is 3941803. The next prime is 3941831. The reversal of 3941820 is 281493.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10801 + ... + 11159.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 23941820 is an apocalyptic number.

3941820 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 3941820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3941820 is an abundant number, since it is smaller than the sum of its proper divisors (8244900).

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

3941820 is a wasteful number, since it uses less digits than its factorization.

3941820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3941820 is about 1985.4017225740. The cubic root of 3941820 is about 157.9667184079.

It can be divided in two parts, 3941 and 820, that added together give a square (4761 = 692).

The spelling of 3941820 in words is "three million, nine hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 359 366 549 610 718 732 915 1077 1098 1220 1436 1795 1830 2154 2196 2745 3231 3590 3660 4308 5385 5490 6462 7180 10770 10980 12924 16155 21540 21899 32310 43798 64620 65697 87596 109495 131394 197091 218990 262788 328485 394182 437980 656970 788364 985455 1313940 1970910 3941820