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32106690 = 232571141113
BaseRepresentation
bin111101001111…
…0100011000010
32020102012002200
41322132203002
531204403230
63104054030
7536621340
oct172364302
966365080
1032106690
111713a260
12a904316
136861b55
14439a990
152c43160
hex1e9e8c2

32106690 has 192 divisors, whose sum is σ = 107557632. Its totient is φ = 6451200.

The previous prime is 32106671. The next prime is 32106691. The reversal of 32106690 is 9660123.

It is a happy number.

It is a super-2 number, since 2×321066902 = 2061679085512200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32106691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284074 + ... + 284186.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 232106690 is an apocalyptic number.

32106690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32106690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

32106690 is an abundant number, since it is smaller than the sum of its proper divisors (75450942).

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

32106690 is a wasteful number, since it uses less digits than its factorization.

32106690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 32106690 is about 5666.2765551992. The cubic root of 32106690 is about 317.8326519506.

The spelling of 32106690 in words is "thirty-two million, one hundred six thousand, six hundred ninety".