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505107020 = 2251119149811
BaseRepresentation
bin11110000110110…
…101001001001100
31022012110002120102
4132012311021030
52013301411040
6122042110232
715342224135
oct3606651114
91265402512
10505107020
1123a135420
121211ab378
13808527c2
144b124c8c
152e526515
hex1e1b524c

505107020 has 96 divisors (see below), whose sum is σ = 1227744000. Its totient is φ = 172627200.

The previous prime is 505107011. The next prime is 505107047. The reversal of 505107020 is 20701505.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 505106983 and 505107001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622415 + ... + 623225.

It is an arithmetic number, because the mean of its divisors is an integer number (12789000).

Almost surely, 2505107020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505107020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613872000).

505107020 is an abundant number, since it is smaller than the sum of its proper divisors (722636980).

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

505107020 is a wasteful number, since it uses less digits than its factorization.

505107020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 505107020 is about 22474.5860918505. The cubic root of 505107020 is about 796.3936736915.

Adding to 505107020 its reverse (20701505), we get a palindrome (525808525).

The spelling of 505107020 in words is "five hundred five million, one hundred seven thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 149 190 209 220 298 380 418 596 745 811 836 1045 1490 1622 1639 2090 2831 2980 3244 3278 4055 4180 5662 6556 8110 8195 8921 11324 14155 15409 16220 16390 17842 28310 30818 31141 32780 35684 44605 56620 61636 62282 77045 89210 120839 124564 154090 155705 169499 178420 241678 308180 311410 338998 483356 604195 622820 677996 847495 1208390 1329229 1694990 2295941 2416780 2658458 3389980 4591882 5316916 6646145 9183764 11479705 13292290 22959410 25255351 26584580 45918820 50510702 101021404 126276755 252553510 505107020