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32106020 = 2252416661
BaseRepresentation
bin111101001111…
…0011000100100
32020102011011212
41322132120210
531204343040
63104050552
7536616362
oct172363044
966364155
1032106020
1117139801
12a903a58
13686175b
14439a632
152c42d65
hex1e9e624

32106020 has 24 divisors (see below), whose sum is σ = 67712568. Its totient is φ = 12787200.

The previous prime is 32106017. The next prime is 32106023. The reversal of 32106020 is 2060123.

It is an interprime number because it is at equal distance from previous prime (32106017) and next prime (32106023).

It can be written as a sum of positive squares in 4 ways, for example, as 14077504 + 18028516 = 3752^2 + 4246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32105986 and 32106004.

It is not an unprimeable number, because it can be changed into a prime (32106023) 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 7 ways as a sum of consecutive naturals, for example, 1490 + ... + 8150.

It is an arithmetic number, because the mean of its divisors is an integer number (2821357).

Almost surely, 232106020 is an apocalyptic number.

It is an amenable number.

32106020 is an abundant number, since it is smaller than the sum of its proper divisors (35606548).

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

32106020 is a wasteful number, since it uses less digits than its factorization.

32106020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 32106020 is about 5666.2174331736. The cubic root of 32106020 is about 317.8304410993.

Adding to 32106020 its reverse (2060123), we get a palindrome (34166143).

The spelling of 32106020 in words is "thirty-two million, one hundred six thousand, twenty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 4820 6661 13322 26644 33305 66610 133220 1605301 3210602 6421204 8026505 16053010 32106020