Search a number
-
+
20553435 = 325771919
BaseRepresentation
bin100111001100…
…1111011011011
31102200020000100
41032121323123
520230202220
62012310443
7336462360
oct116317333
942606010
1020553435
1110669111
126a72423
1343482c6
142a30467
151c0ed90
hex1399edb

20553435 has 48 divisors (see below), whose sum is σ = 41333760. Its totient is φ = 9253440.

The previous prime is 20553433. The next prime is 20553443. The reversal of 20553435 is 53435502.

It is not a de Polignac number, because 20553435 - 21 = 20553433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20553399 and 20553408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20553433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21906 + ... + 22824.

It is an arithmetic number, because the mean of its divisors is an integer number (861120).

Almost surely, 220553435 is an apocalyptic number.

20553435 is an abundant number, since it is smaller than the sum of its proper divisors (20780325).

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

20553435 is a wasteful number, since it uses less digits than its factorization.

20553435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 20553435 is about 4533.5896373624. The cubic root of 20553435 is about 273.9227720262.

Adding to 20553435 its reverse (53435502), we get a palindrome (73988937).

The spelling of 20553435 in words is "twenty million, five hundred fifty-three thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 315 355 497 639 919 1065 1491 2485 2757 3195 4473 4595 6433 7455 8271 13785 19299 22365 32165 41355 57897 65249 96495 195747 289485 326245 456743 587241 978735 1370229 2283715 2936205 4110687 6851145 20553435