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32890 = 25111323
BaseRepresentation
bin1000000001111010
31200010011
420001322
52023030
6412134
7164614
oct100172
950104
1032890
1122790
121704a
1311c80
14bdb4
159b2a
hex807a

32890 has 32 divisors (see below), whose sum is σ = 72576. Its totient is φ = 10560.

The previous prime is 32887. The next prime is 32909. The reversal of 32890 is 9823.

32890 = T20 + T21 + ... + T58.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 34 + 25 + 85 + 9 + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1419 + ... + 1441.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

232890 is an apocalyptic number.

32890 is the 115-th heptagonal number.

32890 is an abundant number, since it is smaller than the sum of its proper divisors (39686).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

32890 is a wasteful number, since it uses less digits than its factorization.

32890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 32890 is about 181.3560034849. The cubic root of 32890 is about 32.0396643569.

The spelling of 32890 in words is "thirty-two thousand, eight hundred ninety".

Divisors: 1 2 5 10 11 13 22 23 26 46 55 65 110 115 130 143 230 253 286 299 506 598 715 1265 1430 1495 2530 2990 3289 6578 16445 32890