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20999424 = 28337739
BaseRepresentation
bin101000000011…
…0110100000000
31110111212210110
41100012310000
520333440144
62030031320
7343330545
oct120066400
943455713
1020999424
11109431a6
127048540
1344732c4
142b08bcc
151c9c0b9
hex1406d00

20999424 has 72 divisors (see below), whose sum is σ = 57477280. Its totient is φ = 6801408.

The previous prime is 20999423. The next prime is 20999443. The reversal of 20999424 is 42499902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20999423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28047 + ... + 28785.

Almost surely, 220999424 is an apocalyptic number.

20999424 is a gapful number since it is divisible by the number (24) 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 20999424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28738640).

20999424 is an abundant number, since it is smaller than the sum of its proper divisors (36477856).

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

20999424 is an equidigital number, since it uses as much as digits as its factorization.

20999424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 20999424 is about 4582.5128477725. The cubic root of 20999424 is about 275.8898951701.

The spelling of 20999424 in words is "twenty million, nine hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 739 768 888 1184 1478 1776 2217 2368 2956 3552 4434 4736 5912 7104 8868 9472 11824 14208 17736 23648 27343 28416 35472 47296 54686 70944 82029 94592 109372 141888 164058 189184 218744 283776 328116 437488 567552 656232 874976 1312464 1749952 2624928 3499904 5249856 6999808 10499712 20999424