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32930 = 253789
BaseRepresentation
bin1000000010100010
31200011122
420002202
52023210
6412242
7165002
oct100242
950148
1032930
1122817
1217082
1311cb1
14c002
159b55
hex80a2

32930 has 16 divisors (see below), whose sum is σ = 61560. Its totient is φ = 12672.

The previous prime is 32917. The next prime is 32933. The reversal of 32930 is 3923.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27889 + 5041 = 167^2 + 71^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32899 and 32908.

It is not an unprimeable number, because it can be changed into a prime (32933) by changing a digit.

32930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326 + ... + 414.

232930 is an apocalyptic number.

32930 is a deficient number, since it is larger than the sum of its proper divisors (28630).

32930 is a wasteful number, since it uses less digits than its factorization.

32930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 32930 is about 181.4662503057. The cubic root of 32930 is about 32.0526477093.

Subtracting from 32930 its product of nonzero digits (162), we obtain a 15-th power (32768 = 215).

It can be divided in two parts, 329 and 30, that multiplied together give a triangular number (9870 = T140).

The spelling of 32930 in words is "thirty-two thousand, nine hundred thirty".

Divisors: 1 2 5 10 37 74 89 178 185 370 445 890 3293 6586 16465 32930