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142132140 = 22325789623
BaseRepresentation
bin10000111100011…
…00001110101100
3100220110001122100
420132030032230
5242341212030
622034215100
73344050263
oct1036141654
9326401570
10142132140
1173258a87
123b724490
13235a5977
1414c3b5da
15c728360
hex878c3ac

142132140 has 36 divisors (see below), whose sum is σ = 431134704. Its totient is φ = 37901856.

The previous prime is 142132099. The next prime is 142132153. The reversal of 142132140 is 41231241.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1421321403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394632 + ... + 394991.

It is an arithmetic number, because the mean of its divisors is an integer number (11975964).

Almost surely, 2142132140 is an apocalyptic number.

142132140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142132140 is an abundant number, since it is smaller than the sum of its proper divisors (289002564).

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

142132140 is a wasteful number, since it uses less digits than its factorization.

142132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789638 (or 789633 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142132140 is about 11921.9184697766. The cubic root of 142132140 is about 521.8721226370.

Adding to 142132140 its reverse (41231241), we get a palindrome (183363381).

The spelling of 142132140 in words is "one hundred forty-two million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 789623 1579246 2368869 3158492 3948115 4737738 7106607 7896230 9475476 11844345 14213214 15792460 23688690 28426428 35533035 47377380 71066070 142132140