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32832020 = 22513197641
BaseRepresentation
bin111110100111…
…1101000010100
32021210001001202
41331033220110
531401111040
63131412032
7546032114
oct175175024
967701052
1032832020
1117595201
12abb4018
136a57040
144509044
152d38015
hex1f4fa14

32832020 has 48 divisors (see below), whose sum is σ = 74744208. Its totient is φ = 12042240.

The previous prime is 32832013. The next prime is 32832043. The reversal of 32832020 is 2023823.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2669956 + 30162064 = 1634^2 + 5492^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32831983 and 32832001.

It is a congruent number.

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, 50900 + ... + 51540.

It is an arithmetic number, because the mean of its divisors is an integer number (1557171).

Almost surely, 232832020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32832020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37372104).

32832020 is an abundant number, since it is smaller than the sum of its proper divisors (41912188).

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

32832020 is a wasteful number, since it uses less digits than its factorization.

32832020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 32832020 is about 5729.9232106547. The cubic root of 32832020 is about 320.2082628662.

Adding to 32832020 its reverse (2023823), we get a palindrome (34855843).

The spelling of 32832020 in words is "thirty-two million, eight hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 641 788 985 1282 1970 2561 2564 3205 3940 5122 6410 8333 10244 12805 12820 16666 25610 33332 41665 51220 83330 126277 166660 252554 505108 631385 1262770 1641601 2525540 3283202 6566404 8208005 16416010 32832020