Search a number
-
+
20917424 = 2411157757
BaseRepresentation
bin100111111001…
…0110010110000
31110100201022102
41033302302300
520323324144
62024155532
7342536513
oct117626260
943321272
1020917424
1110897630
127008ba8
134444b98
142ac6d7a
151c82b4e
hex13f2cb0

20917424 has 40 divisors (see below), whose sum is σ = 44552208. Its totient is φ = 9434880.

The previous prime is 20917409. The next prime is 20917441. The reversal of 20917424 is 42471902.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27254 + ... + 28010.

Almost surely, 220917424 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 20917424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276104).

20917424 is an abundant number, since it is smaller than the sum of its proper divisors (23634784).

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

20917424 is a wasteful number, since it uses less digits than its factorization.

20917424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 20917424 is about 4573.5570402040. The cubic root of 20917424 is about 275.5303221007.

The spelling of 20917424 in words is "twenty million, nine hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 157 176 314 628 757 1256 1514 1727 2512 3028 3454 6056 6908 8327 12112 13816 16654 27632 33308 66616 118849 133232 237698 475396 950792 1307339 1901584 2614678 5229356 10458712 20917424