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142829070 = 235171032719
BaseRepresentation
bin10001000001101…
…10011000001110
3100221202110122120
420200312120032
5243031012240
622101153410
73353012166
oct1040663016
9327673576
10142829070
117369465a
123b9bb866
132378ac57
1414d7d5a6
15c814ad0
hex883660e

142829070 has 64 divisors (see below), whose sum is σ = 366612480. Its totient is φ = 35486208.

The previous prime is 142829039. The next prime is 142829107. The reversal of 142829070 is 70928241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51171 + ... + 53889.

It is an arithmetic number, because the mean of its divisors is an integer number (5728320).

Almost surely, 2142829070 is an apocalyptic number.

142829070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142829070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183306240).

142829070 is an abundant number, since it is smaller than the sum of its proper divisors (223783410).

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

142829070 is a wasteful number, since it uses less digits than its factorization.

142829070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 142829070 is about 11951.1116637742. Note that the first 3 decimals coincide. The cubic root of 142829070 is about 522.7237139427.

The spelling of 142829070 in words is "one hundred forty-two million, eight hundred twenty-nine thousand, seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 103 170 206 255 309 510 515 618 1030 1545 1751 2719 3090 3502 5253 5438 8157 8755 10506 13595 16314 17510 26265 27190 40785 46223 52530 81570 92446 138669 231115 277338 280057 462230 560114 693345 840171 1386690 1400285 1680342 2800570 4200855 4760969 8401710 9521938 14282907 23804845 28565814 47609690 71414535 142829070