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20834496 = 26344019
BaseRepresentation
bin100111101111…
…0100011000000
31110012111120000
41033132203000
520313200441
62022320000
7342042654
oct117364300
943174500
1020834496
11108402a1
126b89000
134416207
142aa4a64
151c682b6
hex13de8c0

20834496 has 70 divisors (see below), whose sum is σ = 61775340. Its totient is φ = 6943104.

The previous prime is 20834491. The next prime is 20834509. The reversal of 20834496 is 69443802.

It is a happy number.

20834496 is a `hidden beast` number, since 208 + 3 + 449 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20834496.

It is not an unprimeable number, because it can be changed into a prime (20834491) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3175 + ... + 7193.

Almost surely, 220834496 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 20834496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30887670).

20834496 is an abundant number, since it is smaller than the sum of its proper divisors (40940844).

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

20834496 is an equidigital number, since it uses as much as digits as its factorization.

20834496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20834496 is about 4564.4820078515. The cubic root of 20834496 is about 275.1657227003.

The spelling of 20834496 in words is "twenty million, eight hundred thirty-four thousand, four hundred ninety-six".

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 4019 5184 8038 12057 16076 24114 32152 36171 48228 64304 72342 96456 108513 128608 144684 192912 217026 257216 289368 325539 385824 434052 578736 651078 771648 868104 1157472 1302156 1736208 2314944 2604312 3472416 5208624 6944832 10417248 20834496