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142264120 = 2357150093
BaseRepresentation
bin10000111101011…
…00011100111000
3100220200202200111
420132230130320
5242404422440
622041114104
73345140125
oct1036543470
9326622614
10142264120
1173339159
123b788934
1323620a6b
1414c7374c
15c7524ea
hex87ac738

142264120 has 32 divisors (see below), whose sum is σ = 324609120. Its totient is φ = 56103040.

The previous prime is 142264117. The next prime is 142264121. The reversal of 142264120 is 21462241.

It is a happy number.

142264120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 142264091 and 142264100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142264121) 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, 22207 + ... + 27886.

It is an arithmetic number, because the mean of its divisors is an integer number (10144035).

Almost surely, 2142264120 is an apocalyptic number.

142264120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142264120 is an abundant number, since it is smaller than the sum of its proper divisors (182345000).

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

142264120 is a wasteful number, since it uses less digits than its factorization.

142264120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50175 (or 50171 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 142264120 is about 11927.4523683811. The cubic root of 142264120 is about 522.0336047028.

The spelling of 142264120 in words is "one hundred forty-two million, two hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 50093 100186 200372 250465 400744 500930 1001860 2003720 3556603 7113206 14226412 17783015 28452824 35566030 71132060 142264120