Search a number
-
+
82867960 = 2357319547
BaseRepresentation
bin1001111000001…
…11011011111000
312202221010110201
410330013123320
5132203233320
612120051544
72024236360
oct474073370
9182833421
1082867960
114285aa1a
1223903bb4
13142258c6
14b0119a0
15741d70a
hex4f076f8

82867960 has 64 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 27492480.

The previous prime is 82867943. The next prime is 82867997. The reversal of 82867960 is 6976828.

It is a self number, because there is not a number n which added to its sum of digits gives 82867960.

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, 3907 + ... + 13453.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 282867960 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 82867960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

82867960 is an abundant number, since it is smaller than the sum of its proper divisors (137117960).

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

82867960 is a wasteful number, since it uses less digits than its factorization.

82867960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9596 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 82867960 is about 9103.1840583391. The cubic root of 82867960 is about 435.9756320023.

The spelling of 82867960 in words is "eighty-two million, eight hundred sixty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 9547 19094 38188 47735 66829 76376 95470 133658 190940 267316 295957 334145 381880 534632 591914 668290 1183828 1336580 1479785 2071699 2367656 2673160 2959570 4143398 5919140 8286796 10358495 11838280 16573592 20716990 41433980 82867960