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3855940 = 22511171031
BaseRepresentation
bin1110101101011001000100
321020220100121
432231121010
51441342230
6214351324
744526544
oct16553104
97226317
103855940
1121a4030
12135b544
13a5012a
14725324
1551277a
hex3ad644

3855940 has 48 divisors (see below), whose sum is σ = 9362304. Its totient is φ = 1318400.

The previous prime is 3855937. The next prime is 3855949. The reversal of 3855940 is 495583.

3855940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 3855896 and 3855905.

It is not an unprimeable number, because it can be changed into a prime (3855949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3225 + ... + 4255.

It is an arithmetic number, because the mean of its divisors is an integer number (195048).

Almost surely, 23855940 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 3855940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681152).

3855940 is an abundant number, since it is smaller than the sum of its proper divisors (5506364).

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

3855940 is a wasteful number, since it uses less digits than its factorization.

3855940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 3855940 is about 1963.6547558061. The cubic root of 3855940 is about 156.8110835737.

The spelling of 3855940 in words is "three million, eight hundred fifty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1031 1870 2062 3740 4124 5155 10310 11341 17527 20620 22682 35054 45364 56705 70108 87635 113410 175270 192797 226820 350540 385594 771188 963985 1927970 3855940