Search a number
-
+
32140032 = 28341849
BaseRepresentation
bin111101010011…
…0101100000000
32020110212211120
41322212230000
531211440112
63104512240
7540120501
oct172465400
966425746
1032140032
1117162311
12a91b680
136874092
1443a8ba8
152c4ce8c
hex1ea6b00

32140032 has 36 divisors (see below), whose sum is σ = 85541400. Its totient is φ = 10713088.

The previous prime is 32140021. The next prime is 32140061. The reversal of 32140032 is 23004123.

It is a super-2 number, since 2×321400322 = 2065963313922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32139993 and 32140020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20157 + ... + 21692.

It is an arithmetic number, because the mean of its divisors is an integer number (2376150).

Almost surely, 232140032 is an apocalyptic number.

32140032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32140032 is an abundant number, since it is smaller than the sum of its proper divisors (53401368).

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

32140032 is an equidigital number, since it uses as much as digits as its factorization.

32140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41868 (or 41854 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 32140032 is about 5669.2179354828. The cubic root of 32140032 is about 317.9426343260.

Adding to 32140032 its reverse (23004123), we get a palindrome (55144155).

The spelling of 32140032 in words is "thirty-two million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 41849 83698 125547 167396 251094 334792 502188 669584 1004376 1339168 2008752 2678336 4017504 5356672 8035008 10713344 16070016 32140032