Search a number
-
+
20766984 = 2337217659
BaseRepresentation
bin100111100111…
…0000100001000
31110002001221120
41033032010020
520304020414
62021035240
7341342100
oct117160410
943061846
1020766984
11107a45a7
126b55b20
1343c1574
142a88200
151c532a9
hex13ce108

20766984 has 48 divisors (see below), whose sum is σ = 60397200. Its totient is φ = 5933088.

The previous prime is 20766973. The next prime is 20767009. The reversal of 20766984 is 48966702.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7654 + ... + 10005.

It is an arithmetic number, because the mean of its divisors is an integer number (1258275).

Almost surely, 220766984 is an apocalyptic number.

20766984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20766984 is an abundant number, since it is smaller than the sum of its proper divisors (39630216).

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

20766984 is a wasteful number, since it uses less digits than its factorization.

20766984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17682 (or 17671 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 20766984 is about 4557.0806444477. The cubic root of 20766984 is about 274.8681858642.

It can be divided in two parts, 2076698 and 4, that added together give a palindrome (2076702).

The spelling of 20766984 in words is "twenty million, seven hundred sixty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 17659 35318 52977 70636 105954 123613 141272 211908 247226 370839 423816 494452 741678 865291 988904 1483356 1730582 2595873 2966712 3461164 5191746 6922328 10383492 20766984