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20990016 = 26344049
BaseRepresentation
bin101000000010…
…0100001000000
31110111101220000
41100010201000
520333140031
62025520000
7343261245
oct120044100
943441800
1020990016
1110937123
127043000
13446bc38
142b055cc
151c993e6
hex1404840

20990016 has 70 divisors (see below), whose sum is σ = 62236350. Its totient is φ = 6994944.

The previous prime is 20989987. The next prime is 20990023. The reversal of 20990016 is 61009902.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 15681600 + 5308416 = 3960^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3160 + ... + 7208.

Almost surely, 220990016 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 20990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31118175).

20990016 is an abundant number, since it is smaller than the sum of its proper divisors (41246334).

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

20990016 is an equidigital number, since it uses as much as digits as its factorization.

20990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 20990016 is about 4581.4862217407. The cubic root of 20990016 is about 275.8486883280.

Adding to 20990016 its reverse (61009902), we get a palindrome (81999918).

The spelling of 20990016 in words is "twenty million, nine hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 4049 5184 8098 12147 16196 24294 32392 36441 48588 64784 72882 97176 109323 129568 145764 194352 218646 259136 291528 327969 388704 437292 583056 655938 777408 874584 1166112 1311876 1749168 2332224 2623752 3498336 5247504 6996672 10495008 20990016