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142782138 = 232295232
BaseRepresentation
bin10001000001010…
…10111010111010
3100221200002021100
420200222322322
5243023012023
622100152230
73352425312
oct1040527272
9327602240
10142782138
1173662374
123b998676
1323772795
1414d6a442
15c805c43
hex882aeba

142782138 has 36 divisors (see below), whose sum is σ = 320642010. Its totient is φ = 45865008.

The previous prime is 142782119. The next prime is 142782139. The reversal of 142782138 is 831287241.

It can be written as a sum of positive squares in only one way, i.e., 120626289 + 22155849 = 10983^2 + 4707^2 .

It is not an unprimeable number, because it can be changed into a prime (142782139) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 272745 + ... + 273267.

Almost surely, 2142782138 is an apocalyptic number.

142782138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142782138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160321005).

142782138 is an abundant number, since it is smaller than the sum of its proper divisors (177859872).

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

142782138 is an equidigital number, since it uses as much as digits as its factorization.

142782138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 557 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 142782138 is about 11949.1480031005. The cubic root of 142782138 is about 522.6664539912. Note that the first 3 decimals are identical.

The spelling of 142782138 in words is "one hundred forty-two million, seven hundred eighty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 523 1046 1569 3138 4707 9414 15167 30334 45501 91002 136503 273006 273529 547058 820587 1641174 2461761 4923522 7932341 15864682 23797023 47594046 71391069 142782138