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106832 = 2411607
BaseRepresentation
bin11010000101010000
312102112202
4122011100
511404312
62142332
7623315
oct320520
9172482
10106832
11732a0
12519a8
133981b
142ad0c
15219c2
hex1a150

106832 has 20 divisors (see below), whose sum is σ = 226176. Its totient is φ = 48480.

The previous prime is 106823. The next prime is 106853. The reversal of 106832 is 238601.

It is a super-2 number, since 2×1068322 = 22826152448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128 + ... + 479.

2106832 is an apocalyptic number.

It is an amenable number.

106832 is an abundant number, since it is smaller than the sum of its proper divisors (119344).

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

106832 is a wasteful number, since it uses less digits than its factorization.

106832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 106832 is about 326.8516483055. The cubic root of 106832 is about 47.4497344536.

Subtracting 106832 from its reverse (238601), we obtain a square (131769 = 3632).

The spelling of 106832 in words is "one hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 607 1214 2428 4856 6677 9712 13354 26708 53416 106832