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142909128 = 23321984849
BaseRepresentation
bin10001000010010…
…01111011001000
3100221220112110200
420201021323020
5243041043003
622103012200
73353464455
oct1041117310
9327815420
10142909128
117373981a
123ba3a060
13237b851b
1414da082c
15c82d6a3
hex8849ec8

142909128 has 24 divisors (see below), whose sum is σ = 387045750. Its totient is φ = 47636352.

The previous prime is 142909111. The next prime is 142909139. The reversal of 142909128 is 821909241.

142909128 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., 122279364 + 20629764 = 11058^2 + 4542^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 142909092 and 142909101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 992353 + ... + 992496.

Almost surely, 2142909128 is an apocalyptic number.

142909128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142909128 is an abundant number, since it is smaller than the sum of its proper divisors (244136622).

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

142909128 is a wasteful number, since it uses less digits than its factorization.

142909128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984861 (or 1984854 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 142909128 is about 11954.4605900894. The cubic root of 142909128 is about 522.8213607281.

The spelling of 142909128 in words is "one hundred forty-two million, nine hundred nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1984849 3969698 5954547 7939396 11909094 15878792 17863641 23818188 35727282 47636376 71454564 142909128