Search a number
-
+
16286940 = 2233530161
BaseRepresentation
bin111110001000…
…010011011100
31010122110111000
4332020103130
513132140230
61341030300
7255302535
oct76102334
933573430
1016286940
11921468a
125555390
1334b3357
14223d68c
15166ab60
hexf884dc

16286940 has 48 divisors (see below), whose sum is σ = 50672160. Its totient is φ = 4343040.

The previous prime is 16286929. The next prime is 16286947. The reversal of 16286940 is 4968261.

16286940 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 16286895 and 16286904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16286947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14541 + ... + 15620.

It is an arithmetic number, because the mean of its divisors is an integer number (1055670).

Almost surely, 216286940 is an apocalyptic number.

16286940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16286940 is an abundant number, since it is smaller than the sum of its proper divisors (34385220).

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

16286940 is a wasteful number, since it uses less digits than its factorization.

16286940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30179 (or 30171 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16286940 is about 4035.7081163038. The cubic root of 16286940 is about 253.4816344666.

The spelling of 16286940 in words is "sixteen million, two hundred eighty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 30161 60322 90483 120644 150805 180966 271449 301610 361932 452415 542898 603220 814347 904830 1085796 1357245 1628694 1809660 2714490 3257388 4071735 5428980 8143470 16286940