Search a number
-
+
82760364 = 22322419539
BaseRepresentation
bin1001110111011…
…01001010101100
312202201122212200
410323231022230
5132141312424
612113501500
72023310601
oct473551254
9182648780
1082760364
11427970a5
1223871890
13141b893b
14adc46a8
1573eb8c9
hex4eed2ac

82760364 has 36 divisors (see below), whose sum is σ = 210089880. Its totient is φ = 27469440.

The previous prime is 82760351. The next prime is 82760389. The reversal of 82760364 is 46306728.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3907 + ... + 13445.

It is an arithmetic number, because the mean of its divisors is an integer number (5835830).

Almost surely, 282760364 is an apocalyptic number.

It is an amenable number.

82760364 is an abundant number, since it is smaller than the sum of its proper divisors (127329516).

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

82760364 is a wasteful number, since it uses less digits than its factorization.

82760364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790 (or 9785 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 82760364 is about 9097.2723384540. The cubic root of 82760364 is about 435.7868596021.

The spelling of 82760364 in words is "eighty-two million, seven hundred sixty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 2169 2892 4338 8676 9539 19078 28617 38156 57234 85851 114468 171702 343404 2298899 4597798 6896697 9195596 13793394 20690091 27586788 41380182 82760364