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142065040 = 24513136601
BaseRepresentation
bin10000111011110…
…11110110010000
3100220022122121011
420131323312100
5242332040130
622032540304
73343350535
oct1035736620
9326278534
10142065040
1173212627
123b6b1694
1323581270
1414c20d8c
15c71352a
hex877bd90

142065040 has 40 divisors (see below), whose sum is σ = 355711608. Its totient is φ = 52454400.

The previous prime is 142065037. The next prime is 142065047. The reversal of 142065040 is 40560241.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 141991056 = 272^2 + 11916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (142065047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67261 + ... + 69340.

Almost surely, 2142065040 is an apocalyptic number.

142065040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142065040 is an abundant number, since it is smaller than the sum of its proper divisors (213646568).

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

142065040 is a wasteful number, since it uses less digits than its factorization.

142065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136627 (or 136621 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 142065040 is about 11919.1039931700. The cubic root of 142065040 is about 521.7899851476.

The spelling of 142065040 in words is "one hundred forty-two million, sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 136601 273202 546404 683005 1092808 1366010 1775813 2185616 2732020 3551626 5464040 7103252 8879065 10928080 14206504 17758130 28413008 35516260 71032520 142065040