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60142032 = 24322411733
BaseRepresentation
bin1110010101101…
…1000111010000
311012011112100200
43211123013100
5110344021112
65545015200
71330125126
oct345330720
9135145320
1060142032
1130a48665
1218184500
13c5c9802
147db7916
15542ecdc
hex395b1d0

60142032 has 60 divisors (see below), whose sum is σ = 169110084. Its totient is φ = 19952640.

The previous prime is 60142021. The next prime is 60142067. The reversal of 60142032 is 23024106.

It is a happy number.

60142032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 23853456 = 6024^2 + 4884^2 .

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 = 60141996 and 60142014.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 33838 + ... + 35570.

Almost surely, 260142032 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 60142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84555042).

60142032 is an abundant number, since it is smaller than the sum of its proper divisors (108968052).

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

60142032 is a wasteful number, since it uses less digits than its factorization.

60142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 60142032 is about 7755.1293993073. The cubic root of 60142032 is about 391.7954298430.

Adding to 60142032 its reverse (23024106), we get a palindrome (83166138).

The spelling of 60142032 in words is "sixty million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 723 964 1446 1733 1928 2169 2892 3466 3856 4338 5199 5784 6932 8676 10398 11568 13864 15597 17352 20796 27728 31194 34704 41592 62388 83184 124776 249552 417653 835306 1252959 1670612 2505918 3341224 3758877 5011836 6682448 7517754 10023672 15035508 20047344 30071016 60142032