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142340120 = 23513299439
BaseRepresentation
bin10000111101111…
…11000000011000
3100220211121221022
420132333000120
5242414340440
622042502012
73345604526
oct1036770030
9326747838
10142340120
117339026a
123b804908
1323649530
1414c93316
15c769cb5
hex87bf018

142340120 has 64 divisors (see below), whose sum is σ = 356832000. Its totient is φ = 50738688.

The previous prime is 142340117. The next prime is 142340131. The reversal of 142340120 is 21043241.

It is a super-2 number, since 2×1423401202 = 40521419523228800, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10361 + ... + 19799.

It is an arithmetic number, because the mean of its divisors is an integer number (5575500).

Almost surely, 2142340120 is an apocalyptic number.

142340120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178416000).

142340120 is an abundant number, since it is smaller than the sum of its proper divisors (214491880).

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

142340120 is a wasteful number, since it uses less digits than its factorization.

142340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 142340120 is about 11930.6378706254. The cubic root of 142340120 is about 522.1265480046.

Adding to 142340120 its reverse (21043241), we get a palindrome (163383361).

The spelling of 142340120 in words is "one hundred forty-two million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 9439 15080 18878 37756 47195 75512 94390 122707 188780 245414 273731 377560 490828 547462 613535 981656 1094924 1227070 1368655 2189848 2454140 2737310 3558503 4908280 5474620 7117006 10949240 14234012 17792515 28468024 35585030 71170060 142340120