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20829636 = 2234531213
BaseRepresentation
bin100111101110…
…1010111000100
31110012020220000
41033131113010
520313022021
62022241300
7342022542
oct117352704
943166800
1020829636
1110837683
126b86230
134413c39
142aa2d92
151c66b26
hex13dd5c4

20829636 has 60 divisors (see below), whose sum is σ = 55525932. Its totient is φ = 6806592.

The previous prime is 20829581. The next prime is 20829637. The reversal of 20829636 is 63692802.

It can be written as a sum of positive squares in 2 ways, for example, as 6812100 + 14017536 = 2610^2 + 3744^2 .

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 20829636.

It is not an unprimeable number, because it can be changed into a prime (20829637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16566 + ... + 17778.

Almost surely, 220829636 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 20829636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27762966).

20829636 is an abundant number, since it is smaller than the sum of its proper divisors (34696296).

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

20829636 is a wasteful number, since it uses less digits than its factorization.

20829636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 20829636 is about 4563.9496053309. The cubic root of 20829636 is about 275.1443253439.

The spelling of 20829636 in words is "twenty million, eight hundred twenty-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1213 1431 1908 2426 2862 3639 4293 4852 5724 7278 8586 10917 14556 17172 21834 32751 43668 64289 65502 98253 128578 131004 192867 196506 257156 385734 393012 578601 771468 1157202 1735803 2314404 3471606 5207409 6943212 10414818 20829636