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20496896 = 29721943
BaseRepresentation
bin100111000110…
…0001000000000
31102120100110022
41032030020000
520221400041
62011153012
7336135500
oct116141000
942510408
1020496896
111062a692
126a45768
134328654
142a17a00
151bed24b
hex138c200

20496896 has 120 divisors (see below), whose sum is σ = 51313680. Its totient is φ = 8128512.

The previous prime is 20496863. The next prime is 20496899. The reversal of 20496896 is 69869402.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 20496896 = 723 + 2723 = 1283 + 2643.

It is not an unprimeable number, because it can be changed into a prime (20496899) 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 11 ways as a sum of consecutive naturals, for example, 476651 + ... + 476693.

It is an arithmetic number, because the mean of its divisors is an integer number (427614).

Almost surely, 220496896 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 20496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25656840).

20496896 is an abundant number, since it is smaller than the sum of its proper divisors (30816784).

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

20496896 is an equidigital number, since it uses as much as digits as its factorization.

20496896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 20496896 is about 4527.3497766353. The cubic root of 20496896 is about 273.6713697287.

The spelling of 20496896 in words is "twenty million, four hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 43 49 56 64 76 86 98 112 128 133 152 172 196 224 256 266 301 304 344 392 448 512 532 602 608 688 784 817 896 931 1064 1204 1216 1376 1568 1634 1792 1862 2107 2128 2408 2432 2752 3136 3268 3584 3724 4214 4256 4816 4864 5504 5719 6272 6536 7448 8428 8512 9632 9728 11008 11438 12544 13072 14896 16856 17024 19264 22016 22876 25088 26144 29792 33712 34048 38528 40033 45752 52288 59584 67424 68096 77056 80066 91504 104576 119168 134848 154112 160132 183008 209152 238336 269696 320264 366016 418304 476672 539392 640528 732032 1078784 1281056 1464064 2562112 2928128 5124224 10248448 20496896