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142568064 = 2732123757
BaseRepresentation
bin10000111111101…
…10101010000000
3100221021012121200
420133312222000
5242444134224
622051421200
73350544222
oct1037665200
9327235550
10142568064
1173526551
123b8b4800
13236c9202
1414d12412
15c7b25c9
hex87f6a80

142568064 has 48 divisors (see below), whose sum is σ = 410257770. Its totient is φ = 47522304.

The previous prime is 142568059. The next prime is 142568143. The reversal of 142568064 is 460865241.

142568064 is digitally balanced in base 3, 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 only one way, i.e., 107993664 + 34574400 = 10392^2 + 5880^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 60727 + ... + 63030.

Almost surely, 2142568064 is an apocalyptic number.

It is an amenable number.

142568064 is an abundant number, since it is smaller than the sum of its proper divisors (267689706).

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

142568064 is a wasteful number, since it uses less digits than its factorization.

142568064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123777 (or 123762 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 142568064 is about 11940.1869332100. The cubic root of 142568064 is about 522.4051111617.

The spelling of 142568064 in words is "one hundred forty-two million, five hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 123757 247514 371271 495028 742542 990056 1113813 1485084 1980112 2227626 2970168 3960224 4455252 5940336 7920448 8910504 11880672 15840896 17821008 23761344 35642016 47522688 71284032 142568064