Search a number
-
+
20708320 = 255294463
BaseRepresentation
bin100111011111…
…1101111100000
31102222002110211
41032333233200
520300131240
62015503504
7341006053
oct116775740
942862424
1020708320
1110764516
126b27b94
1343a0959
142a70a9a
151c40bea
hex13bfbe0

20708320 has 48 divisors (see below), whose sum is σ = 50621760. Its totient is φ = 7995904.

The previous prime is 20708297. The next prime is 20708323. The reversal of 20708320 is 2380702.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20708291 and 20708300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20708323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2409 + ... + 6871.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 220708320 is an apocalyptic number.

20708320 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 20708320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310880).

20708320 is an abundant number, since it is smaller than the sum of its proper divisors (29913440).

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

20708320 is a wasteful number, since it uses less digits than its factorization.

20708320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 20708320 is about 4550.6395154967. The cubic root of 20708320 is about 274.6091196035.

The spelling of 20708320 in words is "twenty million, seven hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4463 4640 8926 17852 22315 35704 44630 71408 89260 129427 142816 178520 258854 357040 517708 647135 714080 1035416 1294270 2070832 2588540 4141664 5177080 10354160 20708320