Search a number
-
+
82691460 = 22325459397
BaseRepresentation
bin1001110110111…
…00010110000100
312202121011100200
410323130112010
5132132111320
612112210500
72022602655
oct473342604
9182534320
1082691460
114274a355
1223839a30
1314193477
14ada752c
1573d6290
hex4edc584

82691460 has 36 divisors (see below), whose sum is σ = 250831308. Its totient is φ = 22051008.

The previous prime is 82691459. The next prime is 82691491. The reversal of 82691460 is 6419628.

It can be written as a sum of positive squares in 2 ways, for example, as 39841344 + 42850116 = 6312^2 + 6546^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229519 + ... + 229878.

Almost surely, 282691460 is an apocalyptic number.

It is an amenable number.

82691460 is an abundant number, since it is smaller than the sum of its proper divisors (168139848).

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

82691460 is a wasteful number, since it uses less digits than its factorization.

82691460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459412 (or 459407 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82691460 is about 9093.4844806598. The cubic root of 82691460 is about 435.6658846429.

The spelling of 82691460 in words is "eighty-two million, six hundred ninety-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 459397 918794 1378191 1837588 2296985 2756382 4134573 4593970 5512764 6890955 8269146 9187940 13781910 16538292 20672865 27563820 41345730 82691460