Search a number
-
+
20212320 = 2535172477
BaseRepresentation
bin100110100011…
…0101001100000
31102000220002110
41031012221200
520133243240
62001115320
7333542022
oct115065140
942026073
1020212320
11104558a7
126928b40
134258c6b
142982012
151b93c80
hex1346a60

20212320 has 96 divisors (see below), whose sum is σ = 67441248. Its totient is φ = 5070848.

The previous prime is 20212319. The next prime is 20212327. The reversal of 20212320 is 2321202.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 20212296 and 20212305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212327) 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, 6922 + ... + 9398.

It is an arithmetic number, because the mean of its divisors is an integer number (702513).

Almost surely, 220212320 is an apocalyptic number.

20212320 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 20212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33720624).

20212320 is an abundant number, since it is smaller than the sum of its proper divisors (47228928).

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

20212320 is a wasteful number, since it uses less digits than its factorization.

20212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20212320 is about 4495.8113839439. The cubic root of 20212320 is about 272.3989244418.

Adding to 20212320 its reverse (2321202), we get a palindrome (22533522).

The spelling of 20212320 in words is "twenty million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2477 2720 4080 4954 7431 8160 9908 12385 14862 19816 24770 29724 37155 39632 42109 49540 59448 74310 79264 84218 99080 118896 126327 148620 168436 198160 210545 237792 252654 297240 336872 396320 421090 505308 594480 631635 673744 842180 1010616 1188960 1263270 1347488 1684360 2021232 2526540 3368720 4042464 5053080 6737440 10106160 20212320