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142054064 = 2429595189
BaseRepresentation
bin10000111011110…
…01001010110000
3100220022002112122
420131321022300
5242331212224
622032413412
73343303535
oct1035711260
9326262478
10142054064
1173205359
123b6a7268
1323579279
1414c1ad8c
15c71015e
hex87792b0

142054064 has 40 divisors (see below), whose sum is σ = 289602000. Its totient is φ = 67402496.

The previous prime is 142054061. The next prime is 142054079. The reversal of 142054064 is 460450241.

It is not an unprimeable number, because it can be changed into a prime (142054061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24782 + ... + 29970.

It is an arithmetic number, because the mean of its divisors is an integer number (7240050).

Almost surely, 2142054064 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 142054064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144801000).

142054064 is an abundant number, since it is smaller than the sum of its proper divisors (147547936).

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

142054064 is a wasteful number, since it uses less digits than its factorization.

142054064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 142054064 is about 11918.6435469813. The cubic root of 142054064 is about 521.7765469028.

The spelling of 142054064 in words is "one hundred forty-two million, fifty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 29 58 59 116 118 232 236 464 472 944 1711 3422 5189 6844 10378 13688 20756 27376 41512 83024 150481 300962 306151 601924 612302 1203848 1224604 2407696 2449208 4898416 8878379 17756758 35513516 71027032 142054064