Search a number
-
+
21746140280 = 23523153115439
BaseRepresentation
bin10100010000001010…
…111100010001111000
32002010112012101101222
4110100022330101320
5324014002442110
613553503131212
71366614066614
oct242012742170
962115171358
1021746140280
11924a147067
12426a8a3b08
13208738a837
1410a417c344
158741d5c55
hex5102bc478

21746140280 has 64 divisors (see below), whose sum is σ = 51092812800. Its totient is φ = 8314289280.

The previous prime is 21746140271. The next prime is 21746140327. The reversal of 21746140280 is 8204164712.

It is a self number, because there is not a number n which added to its sum of digits gives 21746140280.

It is a congruent number.

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, 1400801 + ... + 1416239.

It is an arithmetic number, because the mean of its divisors is an integer number (798325200).

Almost surely, 221746140280 is an apocalyptic number.

21746140280 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 21746140280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25546406400).

21746140280 is an abundant number, since it is smaller than the sum of its proper divisors (29346672520).

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

21746140280 is a wasteful number, since it uses less digits than its factorization.

21746140280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17004 (or 17000 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 21746140280 in words is "twenty-one billion, seven hundred forty-six million, one hundred forty thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1531 3062 6124 7655 12248 15310 15439 30620 30878 35213 61240 61756 70426 77195 123512 140852 154390 176065 281704 308780 352130 355097 617560 704260 710194 1408520 1420388 1775485 2840776 3550970 7101940 14203880 23637109 47274218 94548436 118185545 189096872 236371090 472742180 543653507 945484360 1087307014 2174614028 2718267535 4349228056 5436535070 10873070140 21746140280