Search a number
-
+
20201520 = 2435412053
BaseRepresentation
bin100110100010…
…0000000110000
31102000100021110
41031010000300
520132422040
62000553320
7333465363
oct115040060
942010243
1020201520
1110448779
126922840
134254081
14297c0da
151b90980
hex1344030

20201520 has 80 divisors (see below), whose sum is σ = 64183392. Its totient is φ = 5253120.

The previous prime is 20201507. The next prime is 20201527. The reversal of 20201520 is 2510202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20201496 and 20201505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8814 + ... + 10866.

Almost surely, 220201520 is an apocalyptic number.

20201520 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 20201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32091696).

20201520 is an abundant number, since it is smaller than the sum of its proper divisors (43981872).

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

20201520 is a wasteful number, since it uses less digits than its factorization.

20201520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 20201520 is about 4494.6101054485. The cubic root of 20201520 is about 272.3503990454.

Adding to 20201520 its reverse (2510202), we get a palindrome (22711722).

The spelling of 20201520 in words is "twenty million, two hundred one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2053 2460 3280 4106 4920 6159 8212 9840 10265 12318 16424 20530 24636 30795 32848 41060 49272 61590 82120 84173 98544 123180 164240 168346 246360 252519 336692 420865 492720 505038 673384 841730 1010076 1262595 1346768 1683460 2020152 2525190 3366920 4040304 5050380 6733840 10100760 20201520