Search a number
-
+
142142292 = 22324798243
BaseRepresentation
bin10000111100011…
…10101101010100
3100220110120120100
420132032231110
5242342023132
622034334100
73344122005
oct1036165524
9326416510
10142142292
1173265676
123b72a330
13235aa486
1414c411ac
15c72b37c
hex878eb54

142142292 has 36 divisors (see below), whose sum is σ = 360097920. Its totient is φ = 47276112.

The previous prime is 142142291. The next prime is 142142303. The reversal of 142142292 is 292241241.

142142292 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142142291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13123 + ... + 21365.

It is an arithmetic number, because the mean of its divisors is an integer number (10002720).

Almost surely, 2142142292 is an apocalyptic number.

142142292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142142292 is an abundant number, since it is smaller than the sum of its proper divisors (217955628).

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

142142292 is a wasteful number, since it uses less digits than its factorization.

142142292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 8727 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 142142292 is about 11922.3442325744. The cubic root of 142142292 is about 521.8845475060.

The spelling of 142142292 in words is "one hundred forty-two million, one hundred forty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 479 958 1437 1916 2874 4311 5748 8243 8622 16486 17244 24729 32972 49458 74187 98916 148374 296748 3948397 7896794 11845191 15793588 23690382 35535573 47380764 71071146 142142292