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20490912 = 2532132421
BaseRepresentation
bin100111000101…
…0101010100000
31102120001020200
41032022222200
520221202122
62011105200
7336112161
oct116125240
942501220
1020490912
1110626142
126a42200
134325a00
142a15768
151beb5ac
hex138aaa0

20490912 has 108 divisors (see below), whose sum is σ = 63248094. Its totient is φ = 6289920.

The previous prime is 20490839. The next prime is 20490917. The reversal of 20490912 is 21909402.

It can be written as a sum of positive squares in 3 ways, for example, as 3549456 + 16941456 = 1884^2 + 4116^2 .

It is not an unprimeable number, because it can be changed into a prime (20490917) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48462 + ... + 48882.

Almost surely, 220490912 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 20490912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31624047).

20490912 is an abundant number, since it is smaller than the sum of its proper divisors (42757182).

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

20490912 is a wasteful number, since it uses less digits than its factorization.

20490912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20490912 is about 4526.6888561066. The cubic root of 20490912 is about 273.6447346572.

The spelling of 20490912 in words is "twenty million, four hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 421 468 507 624 676 842 936 1014 1248 1263 1352 1521 1684 1872 2028 2526 2704 3042 3368 3744 3789 4056 5052 5408 5473 6084 6736 7578 8112 10104 10946 12168 13472 15156 16224 16419 20208 21892 24336 30312 32838 40416 43784 48672 49257 60624 65676 71149 87568 98514 121248 131352 142298 175136 197028 213447 262704 284596 394056 426894 525408 569192 640341 788112 853788 1138384 1280682 1576224 1707576 2276768 2561364 3415152 5122728 6830304 10245456 20490912