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868632 = 233172129
BaseRepresentation
bin11010100000100011000
31122010112120
43110010120
5210244012
630341240
710245312
oct3240430
91563476
10868632
11543686
1235a820
132454ab
141887b2
1512258c
hexd4118

868632 has 32 divisors (see below), whose sum is σ = 2300400. Its totient is φ = 272384.

The previous prime is 868613. The next prime is 868639. The reversal of 868632 is 236868.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 868593 and 868602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657 + ... + 1472.

2868632 is an apocalyptic number.

It is an amenable number.

868632 is an abundant number, since it is smaller than the sum of its proper divisors (1431768).

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

868632 is a wasteful number, since it uses less digits than its factorization.

868632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2151 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 868632 is about 932.0042918356. The cubic root of 868632 is about 95.4139645271.

Adding to 868632 its product of digits (13824), we get a triangular number (882456 = T1328).

The spelling of 868632 in words is "eight hundred sixty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 2129 4258 6387 8516 12774 17032 25548 36193 51096 72386 108579 144772 217158 289544 434316 868632