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60534144 = 27321117281
BaseRepresentation
bin1110011011101…
…0110110000000
311012220110020100
43212322312000
5110444043034
610001242400
71333350246
oct346726600
9135813210
1060534144
1131196220
1218333400
13c706128
14807a796
1554ab099
hex39bad80

60534144 has 192 divisors, whose sum is σ = 201923280. Its totient is φ = 17203200.

The previous prime is 60534121. The next prime is 60534157. The reversal of 60534144 is 44143506.

60534144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 215284 + ... + 215564.

Almost surely, 260534144 is an apocalyptic number.

60534144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100961640).

60534144 is an abundant number, since it is smaller than the sum of its proper divisors (141389136).

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

60534144 is a wasteful number, since it uses less digits than its factorization.

60534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 60534144 is about 7780.3691429135. The cubic root of 60534144 is about 392.6450576123.

The spelling of 60534144 in words is "sixty million, five hundred thirty-four thousand, one hundred forty-four".