Search a number
-
+
32100 = 22352107
BaseRepresentation
bin111110101100100
31122000220
413311210
52011400
6404340
7162405
oct76544
948026
1032100
1122132
12166b0
13117c3
14b9ac
1597a0
hex7d64

32100 has 36 divisors (see below), whose sum is σ = 93744. Its totient is φ = 8480.

The previous prime is 32099. The next prime is 32117. The reversal of 32100 is 123.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 8 and base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

232100 is an apocalyptic number.

32100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872).

32100 is an abundant number, since it is smaller than the sum of its proper divisors (61644).

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

32100 is a wasteful number, since it uses less digits than its factorization.

32100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 32100 is about 179.1647286717. The cubic root of 32100 is about 31.7810575055.

Adding to 32100 its reverse (123), we get a palindrome (32223).

The spelling of 32100 in words is "thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2675 3210 5350 6420 8025 10700 16050 32100