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20080560 = 2435312699
BaseRepresentation
bin100110010011…
…0011110110000
31101210012100110
41030212132300
520120034220
61554221320
7332452623
oct114463660
941705313
1020080560
1110375905
126884840
134210cb6
142949dba
151b69be0
hex13267b0

20080560 has 80 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 5180160.

The previous prime is 20080537. The next prime is 20080573. The reversal of 20080560 is 6508002.

It is a happy number.

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

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, 6091 + ... + 8789.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 220080560 is an apocalyptic number.

20080560 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 20080560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

20080560 is an abundant number, since it is smaller than the sum of its proper divisors (44201040).

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

20080560 is a wasteful number, since it uses less digits than its factorization.

20080560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20080560 is about 4481.1337851039. The cubic root of 20080560 is about 271.8057292143.

Adding to 20080560 its reverse (6508002), we get a palindrome (26588562).

The spelling of 20080560 in words is "twenty million, eighty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 2699 3720 5398 7440 8097 10796 13495 16194 21592 26990 32388 40485 43184 53980 64776 80970 83669 107960 129552 161940 167338 215920 251007 323880 334676 418345 502014 647760 669352 836690 1004028 1255035 1338704 1673380 2008056 2510070 3346760 4016112 5020140 6693520 10040280 20080560