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686838132 = 223220899133
BaseRepresentation
bin101000111100000…
…101000101110100
31202212101222210100
4220330011011310
52401312310012
6152053154100
723010012351
oct5074050564
91685358710
10686838132
1132277a722
1217202b930
13ac3b15c6
146730d628
15404728dc
hex28f05174

686838132 has 36 divisors (see below), whose sum is σ = 1737195460. Its totient is φ = 228811392.

The previous prime is 686838083. The next prime is 686838133. The reversal of 686838132 is 231838686.

It can be written as a sum of positive squares in 2 ways, for example, as 578594916 + 108243216 = 24054^2 + 10404^2 .

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686838133) 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 11 ways as a sum of consecutive naturals, for example, 70638 + ... + 79770.

Almost surely, 2686838132 is an apocalyptic number.

It is an amenable number.

686838132 is an abundant number, since it is smaller than the sum of its proper divisors (1050357328).

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

686838132 is a wasteful number, since it uses less digits than its factorization.

686838132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232 (or 11227 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 686838132 is about 26207.5968375584. The cubic root of 686838132 is about 882.3037656704.

The spelling of 686838132 in words is "six hundred eighty-six million, eight hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2089 4178 6267 8356 9133 12534 18266 18801 25068 27399 36532 37602 54798 75204 82197 109596 164394 328788 19078837 38157674 57236511 76315348 114473022 171709533 228946044 343419066 686838132