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82680732 = 22322296687
BaseRepresentation
bin1001110110110…
…01101110011100
312202120121122100
410323121232130
5132131240412
612112045100
72022526461
oct473315634
9182517570
1082680732
1142742292
1223833790
131418b614
14ada3668
1573d2edc
hex4ed9b9c

82680732 has 18 divisors (see below), whose sum is σ = 208998608. Its totient is φ = 27560232.

The previous prime is 82680709. The next prime is 82680737. The reversal of 82680732 is 23708628.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×826807322 = 13672206888111648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2296687 = 82680732 / (8 + 2 + 6 + 8 + 0 + 7 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82680737) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1148308 + ... + 1148379.

Almost surely, 282680732 is an apocalyptic number.

It is an amenable number.

82680732 is an abundant number, since it is smaller than the sum of its proper divisors (126317876).

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

82680732 is a wasteful number, since it uses less digits than its factorization.

82680732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296697 (or 2296692 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82680732 is about 9092.8945886335. The cubic root of 82680732 is about 435.6470434158.

The spelling of 82680732 in words is "eighty-two million, six hundred eighty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2296687 4593374 6890061 9186748 13780122 20670183 27560244 41340366 82680732