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4086940 = 22511131429
BaseRepresentation
bin1111100101110010011100
321200122020011
433211302130
52021240230
6223333004
746511164
oct17456234
97618204
104086940
112341640
121451164
13b01310
147855a4
1555ae2a
hex3e5c9c

4086940 has 48 divisors (see below), whose sum is σ = 10090080. Its totient is φ = 1370880.

The previous prime is 4086923. The next prime is 4086949. The reversal of 4086940 is 496804.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146 + ... + 3574.

It is an arithmetic number, because the mean of its divisors is an integer number (210210).

Almost surely, 24086940 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 4086940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045040).

4086940 is an abundant number, since it is smaller than the sum of its proper divisors (6003140).

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

4086940 is a wasteful number, since it uses less digits than its factorization.

4086940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4086940 is about 2021.6181637490. The cubic root of 4086940 is about 159.8819441640.

The spelling of 4086940 in words is "four million, eighty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1429 1430 2858 2860 5716 7145 14290 15719 18577 28580 31438 37154 62876 74308 78595 92885 157190 185770 204347 314380 371540 408694 817388 1021735 2043470 4086940