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142031584 = 2531143177
BaseRepresentation
bin10000111011100…
…11101011100000
3100220020221201001
420131303223200
5242330002314
622032121344
73343151152
oct1035635340
9326227631
10142031584
117319a482
123b696254
132356bc76
1414c12ad2
15c708674
hex8773ae0

142031584 has 24 divisors (see below), whose sum is σ = 288646848. Its totient is φ = 68724480.

The previous prime is 142031581. The next prime is 142031639. The reversal of 142031584 is 485130241.

142031584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1420315843 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142031581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70597 + ... + 72580.

It is an arithmetic number, because the mean of its divisors is an integer number (12026952).

Almost surely, 2142031584 is an apocalyptic number.

It is an amenable number.

142031584 is an abundant number, since it is smaller than the sum of its proper divisors (146615264).

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

142031584 is a wasteful number, since it uses less digits than its factorization.

142031584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143218 (or 143210 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 142031584 is about 11917.7004493317. The cubic root of 142031584 is about 521.7490218060.

The spelling of 142031584 in words is "one hundred forty-two million, thirty-one thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 143177 286354 572708 1145416 2290832 4438487 4581664 8876974 17753948 35507896 71015792 142031584