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60132144 = 243731312
BaseRepresentation
bin1110010101100…
…0101100110000
311012011000210110
43211120230300
5110343212034
65544501320
71330054242
oct345305460
9135130713
1060132144
1130a41196
121817a840
13c5c5167
147db4092
15542bde9
hex3958b30

60132144 has 60 divisors (see below), whose sum is σ = 158680568. Its totient is φ = 19618560.

The previous prime is 60132133. The next prime is 60132187. The reversal of 60132144 is 44123106.

It is a self number, because there is not a number n which added to its sum of digits gives 60132144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458959 + ... + 459089.

Almost surely, 260132144 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 60132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79340284).

60132144 is an abundant number, since it is smaller than the sum of its proper divisors (98548424).

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

60132144 is a wasteful number, since it uses less digits than its factorization.

60132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 60132144 is about 7754.4918595611. The cubic root of 60132144 is about 391.7739568653.

The spelling of 60132144 in words is "sixty million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 131 146 219 262 292 393 438 524 584 786 876 1048 1168 1572 1752 2096 3144 3504 6288 9563 17161 19126 28689 34322 38252 51483 57378 68644 76504 102966 114756 137288 153008 205932 229512 274576 411864 459024 823728 1252753 2505506 3758259 5011012 7516518 10022024 15033036 20044048 30066072 60132144