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142324350 = 23527891523
BaseRepresentation
bin10000111101110…
…11001001111110
3100220210211022020
420132323021332
5242413334400
622042301010
73345510540
oct1036731176
9326724266
10142324350
117337a433
123b7b7766
13236422bc
1414c8b690
15c7652a0
hex87bb27e

142324350 has 96 divisors (see below), whose sum is σ = 408188160. Its totient is φ = 32144640.

The previous prime is 142324331. The next prime is 142324361. The reversal of 142324350 is 53423241.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 142324350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92689 + ... + 94211.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2142324350 is an apocalyptic number.

142324350 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 142324350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204094080).

142324350 is an abundant number, since it is smaller than the sum of its proper divisors (265863810).

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

142324350 is a wasteful number, since it uses less digits than its factorization.

142324350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 142324350 is about 11929.9769488461. The cubic root of 142324350 is about 522.1072649901.

Adding to 142324350 its reverse (53423241), we get a palindrome (195747591).

The spelling of 142324350 in words is "one hundred forty-two million, three hundred twenty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 89 105 150 175 178 210 267 350 445 525 534 623 890 1050 1246 1335 1523 1869 2225 2670 3046 3115 3738 4450 4569 6230 6675 7615 9138 9345 10661 13350 15230 15575 18690 21322 22845 31150 31983 38075 45690 46725 53305 63966 76150 93450 106610 114225 135547 159915 228450 266525 271094 319830 406641 533050 677735 799575 813282 948829 1355470 1599150 1897658 2033205 2846487 3388675 4066410 4744145 5692974 6777350 9488290 10166025 14232435 20332050 23720725 28464870 47441450 71162175 142324350