Search a number
-
+
20535060 = 22357133761
BaseRepresentation
bin100111001010…
…1011100010100
31102122021210210
41032111130110
520224110220
62012045420
7336354660
oct116253424
942567723
1020535060
1110656327
126a63870
13433cb30
142a278a0
151c096e0
hex1395714

20535060 has 96 divisors (see below), whose sum is σ = 70785792. Its totient is φ = 4331520.

The previous prime is 20535049. The next prime is 20535061. The reversal of 20535060 is 6053502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20535061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3580 + ... + 7340.

It is an arithmetic number, because the mean of its divisors is an integer number (737352).

Almost surely, 220535060 is an apocalyptic number.

20535060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20535060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35392896).

20535060 is an abundant number, since it is smaller than the sum of its proper divisors (50250732).

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

20535060 is a wasteful number, since it uses less digits than its factorization.

20535060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 20535060 is about 4531.5626443866. The cubic root of 20535060 is about 273.8411176842.

Adding to 20535060 its reverse (6053502), we get a palindrome (26588562).

The spelling of 20535060 in words is "twenty million, five hundred thirty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 3761 5460 7522 11283 15044 18805 22566 26327 37610 45132 48893 52654 56415 75220 78981 97786 105308 112830 131635 146679 157962 195572 225660 244465 263270 293358 315924 342251 394905 488930 526540 586716 684502 733395 789810 977860 1026753 1369004 1466790 1579620 1711255 2053506 2933580 3422510 4107012 5133765 6845020 10267530 20535060