Search a number
-
+
71200284 = 22317379433
BaseRepresentation
bin1000011111001…
…10111000011100
311221222100102120
410033212320130
5121211402114
611022022540
71523123001
oct417467034
9157870376
1071200284
1137210911
121ba17a50
131199bc5c
1496558a8
1563b65a9
hex43e6e1c

71200284 has 48 divisors (see below), whose sum is σ = 180679968. Its totient is φ = 21731328.

The previous prime is 71200271. The next prime is 71200309. The reversal of 71200284 is 48200217.

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, 2832 + ... + 12264.

It is an arithmetic number, because the mean of its divisors is an integer number (3764166).

Almost surely, 271200284 is an apocalyptic number.

71200284 is a gapful number since it is divisible by the number (74) 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 71200284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90339984).

71200284 is an abundant number, since it is smaller than the sum of its proper divisors (109479684).

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

71200284 is a wasteful number, since it uses less digits than its factorization.

71200284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9492 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 71200284 is about 8438.0260724888. The cubic root of 71200284 is about 414.4707706858.

The spelling of 71200284 in words is "seventy-one million, two hundred thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3774 7548 9433 18866 28299 37732 56598 113196 160361 320722 349021 481083 641444 698042 962166 1047063 1396084 1924332 2094126 4188252 5933357 11866714 17800071 23733428 35600142 71200284