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142028640 = 2535513281
BaseRepresentation
bin10000111011100…
…10111101100000
3100220020210200000
420131302331200
5242324404030
622032100000
73343136445
oct1035627540
9326223600
10142028640
1173198246
123b694600
132356a820
1414c119cc
15c707860
hex8772f60

142028640 has 288 divisors, whose sum is σ = 543213216. Its totient is φ = 34836480.

The previous prime is 142028617. The next prime is 142028647. The reversal of 142028640 is 46820241.

142028640 is a `hidden beast` number, since 14 + 2 + 0 + 2 + 8 + 640 = 666.

142028640 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142028647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505300 + ... + 505580.

It is an arithmetic number, because the mean of its divisors is an integer number (1886157).

Almost surely, 2142028640 is an apocalyptic number.

142028640 is a gapful number since it is divisible by the number (10) 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 142028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271606608).

142028640 is an abundant number, since it is smaller than the sum of its proper divisors (401184576).

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

142028640 is a wasteful number, since it uses less digits than its factorization.

142028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 142028640 is about 11917.5769349310. The cubic root of 142028640 is about 521.7454168808.

Adding to 142028640 its reverse (46820241), we get a palindrome (188848881).

The spelling of 142028640 in words is "one hundred forty-two million, twenty-eight thousand, six hundred forty".