Search a number
-
+
82168380 = 22325765213
BaseRepresentation
bin1001110010111…
…00101000111100
312201121120211100
410321130220330
5132013342010
612053053100
72015263650
oct471345074
9181546740
1082168380
1142422358
1223627190
131403c358
14acaca60
1573312c0
hex4e5ca3c

82168380 has 72 divisors (see below), whose sum is σ = 284854752. Its totient is φ = 18781056.

The previous prime is 82168367. The next prime is 82168393. The reversal of 82168380 is 8386128.

It is an interprime number because it is at equal distance from previous prime (82168367) and next prime (82168393).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31347 + ... + 33866.

It is an arithmetic number, because the mean of its divisors is an integer number (3956316).

Almost surely, 282168380 is an apocalyptic number.

It is an amenable number.

82168380 is an abundant number, since it is smaller than the sum of its proper divisors (202686372).

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

82168380 is a wasteful number, since it uses less digits than its factorization.

82168380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65235 (or 65230 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82168380 is about 9064.6776004445. The cubic root of 82168380 is about 434.7453126646.

The spelling of 82168380 in words is "eighty-two million, one hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 65213 130426 195639 260852 326065 391278 456491 586917 652130 782556 912982 978195 1173834 1304260 1369473 1825964 1956390 2282455 2347668 2738946 2934585 3912780 4108419 4564910 5477892 5869170 6847365 8216838 9129820 11738340 13694730 16433676 20542095 27389460 41084190 82168380