Search a number
-
+
20520 = 2333519
BaseRepresentation
bin101000000101000
31001011000
411000220
51124040
6235000
7113553
oct50050
931130
1020520
1114465
12ba60
139456
14769a
156130
hex5028

20520 has 64 divisors (see below), whose sum is σ = 72000. Its totient is φ = 5184.

The previous prime is 20509. The next prime is 20521. The reversal of 20520 is 2502.

It can be divided in two parts, 205 and 20, that added together give a square (225 = 152).

20520 = T59 + T60 + ... + T68.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20520.

It is not an unprimeable number, because it can be changed into a prime (20521) by changing a digit.

20520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (1125).

220520 is an apocalyptic number.

20520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20520 is the 72-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36000).

20520 is an abundant number, since it is smaller than the sum of its proper divisors (51480).

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

20520 is a wasteful number, since it uses less digits than its factorization.

20520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 20520 is about 143.2480366358. The cubic root of 20520 is about 27.3774158123.

The spelling of 20520 in words is "twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520