Search a number
-
+
20220720 = 2435136481
BaseRepresentation
bin100110100100…
…0101100110000
31102001022121120
41031020230300
520134030340
62001222240
7333605352
oct115105460
942038546
1020220720
1110461143
126931980
13425ca30
1429850d2
151b964d0
hex1348b30

20220720 has 80 divisors (see below), whose sum is σ = 67516512. Its totient is φ = 4976640.

The previous prime is 20220713. The next prime is 20220751. The reversal of 20220720 is 2702202.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20220720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121 + ... + 6360.

Almost surely, 220220720 is an apocalyptic number.

20220720 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 20220720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33758256).

20220720 is an abundant number, since it is smaller than the sum of its proper divisors (47295792).

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

20220720 is a wasteful number, since it uses less digits than its factorization.

20220720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 20220720 is about 4496.7454897959. The cubic root of 20220720 is about 272.4366544675.

Adding to 20220720 its reverse (2702202), we get a palindrome (22922922).

The spelling of 20220720 in words is "twenty million, two hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 6481 12962 19443 25924 32405 38886 51848 64810 77772 84253 97215 103696 129620 155544 168506 194430 252759 259240 311088 337012 388860 421265 505518 518480 674024 777720 842530 1011036 1263795 1348048 1555440 1685060 2022072 2527590 3370120 4044144 5055180 6740240 10110360 20220720