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142065090 = 23551719181
BaseRepresentation
bin10000111011110…
…11110111000010
3100220022122200000
420131323313002
5242332040330
622032540430
73343350636
oct1035736702
9326278600
10142065090
1173212672
123b6b1716
13235812ab
1414c20dc6
15c713560
hex877bdc2

142065090 has 192 divisors, whose sum is σ = 429287040. Its totient is φ = 33592320.

The previous prime is 142065059. The next prime is 142065103. The reversal of 142065090 is 90560241.

142065090 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 650 + 9 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 784800 + ... + 784980.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2142065090 is an apocalyptic number.

142065090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142065090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

142065090 is an abundant number, since it is smaller than the sum of its proper divisors (287221950).

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

142065090 is a wasteful number, since it uses less digits than its factorization.

142065090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 142065090 is about 11919.1060906429. The cubic root of 142065090 is about 521.7900463625.

The spelling of 142065090 in words is "one hundred forty-two million, sixty-five thousand, ninety".