Search a number
-
+
16267980 = 22351741389
BaseRepresentation
bin111110000011…
…101011001100
31010121111110210
4332003223030
513131033410
61340402420
7255163341
oct76035314
933544423
1016267980
119201413
125546410
1334a7831
1422367c8
151665220
hexf83acc

16267980 has 96 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 3973120.

The previous prime is 16267961. The next prime is 16267981. The reversal of 16267980 is 8976261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16267981) 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 31 ways as a sum of consecutive naturals, for example, 41626 + ... + 42014.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 216267980 is an apocalyptic number.

16267980 is a gapful number since it is divisible by the number (10) 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 16267980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

16267980 is an abundant number, since it is smaller than the sum of its proper divisors (33265140).

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

16267980 is a wasteful number, since it uses less digits than its factorization.

16267980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 16267980 is about 4033.3584021260. The cubic root of 16267980 is about 253.3832350143.

The spelling of 16267980 in words is "sixteen million, two hundred sixty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 389 410 492 510 615 697 778 820 1020 1167 1230 1394 1556 1945 2091 2334 2460 2788 3485 3890 4182 4668 5835 6613 6970 7780 8364 10455 11670 13226 13940 15949 19839 20910 23340 26452 31898 33065 39678 41820 47847 63796 66130 79356 79745 95694 99195 132260 159490 191388 198390 239235 271133 318980 396780 478470 542266 813399 956940 1084532 1355665 1626798 2711330 3253596 4066995 5422660 8133990 16267980