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80835132 = 22371516373
BaseRepresentation
bin1001101000101…
…11001000111100
312122002211221210
410310113020330
5131143211012
612004324420
72001041640
oct464271074
9178084853
1080835132
11416a16a4
12230a3710
1313993551
14aa42c20
15716b23c
hex4d1723c

80835132 has 48 divisors (see below), whose sum is σ = 217021952. Its totient is φ = 22939200.

The previous prime is 80835127. The next prime is 80835137. The reversal of 80835132 is 23153808.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80835127) and next prime (80835137).

It is a self number, because there is not a number n which added to its sum of digits gives 80835132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80835137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9498 + ... + 15870.

Almost surely, 280835132 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 80835132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108510976).

80835132 is an abundant number, since it is smaller than the sum of its proper divisors (136186820).

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

80835132 is a wasteful number, since it uses less digits than its factorization.

80835132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6538 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 80835132 is about 8990.8360011736. The cubic root of 80835132 is about 432.3811151518.

The spelling of 80835132 in words is "eighty million, eight hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1812 2114 3171 4228 6342 6373 12684 12746 19119 25492 38238 44611 76476 89222 133833 178444 267666 535332 962323 1924646 2886969 3849292 5773938 6736261 11547876 13472522 20208783 26945044 40417566 80835132