Search a number
-
+
20770420 = 22511194969
BaseRepresentation
bin100111100111…
…0111001110100
31110002020122211
41033032321310
520304123140
62021103204
7341355106
oct117167164
943066584
1020770420
11107a7140
126b57b04
1343c2cb8
142a89576
151c542ea
hex13cee74

20770420 has 48 divisors (see below), whose sum is σ = 50097600. Its totient is φ = 7153920.

The previous prime is 20770397. The next prime is 20770423. The reversal of 20770420 is 2407702.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20770391 and 20770400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20770423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1696 + ... + 6664.

It is an arithmetic number, because the mean of its divisors is an integer number (1043700).

Almost surely, 220770420 is an apocalyptic number.

20770420 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 20770420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25048800).

20770420 is an abundant number, since it is smaller than the sum of its proper divisors (29327180).

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

20770420 is a wasteful number, since it uses less digits than its factorization.

20770420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 20770420 is about 4557.4576245973. The cubic root of 20770420 is about 274.8833444609.

The spelling of 20770420 in words is "twenty million, seven hundred seventy thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 4969 9938 19876 24845 49690 54659 94411 99380 109318 188822 218636 273295 377644 472055 546590 944110 1038521 1093180 1888220 2077042 4154084 5192605 10385210 20770420