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32142024 = 2332446417
BaseRepresentation
bin111101010011…
…1001011001000
32020110222120100
41322213023020
531212021044
63104525400
7540126345
oct172471310
966428510
1032142024
1117163862
12a920860
136874c65
1443a97cc
152c4d869
hex1ea72c8

32142024 has 24 divisors (see below), whose sum is σ = 87051510. Its totient is φ = 10713984.

The previous prime is 32142013. The next prime is 32142041. The reversal of 32142024 is 42024123.

It can be written as a sum of positive squares in only one way, i.e., 28836900 + 3305124 = 5370^2 + 1818^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32141988 and 32142006.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 223137 + ... + 223280.

Almost surely, 232142024 is an apocalyptic number.

It is an amenable number.

32142024 is an abundant number, since it is smaller than the sum of its proper divisors (54909486).

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

32142024 is a wasteful number, since it uses less digits than its factorization.

32142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446429 (or 446422 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 32142024 is about 5669.3936183687. The cubic root of 32142024 is about 317.9492027559.

Adding to 32142024 its reverse (42024123), we get a palindrome (74166147).

The spelling of 32142024 in words is "thirty-two million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 446417 892834 1339251 1785668 2678502 3571336 4017753 5357004 8035506 10714008 16071012 32142024