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142342320 = 24354712619
BaseRepresentation
bin10000111101111…
…11100010110000
3100220211201221210
420132333202300
5242414423240
622042520120
73345614121
oct1036774260
9326751853
10142342320
117339198a
123b806040
132364a533
1414c94048
15c76a780
hex87bf8b0

142342320 has 80 divisors (see below), whose sum is σ = 450685440. Its totient is φ = 37147392.

The previous prime is 142342303. The next prime is 142342327. The reversal of 142342320 is 23243241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1423423202 = 40522672125964800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142342327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4971 + ... + 17589.

It is an arithmetic number, because the mean of its divisors is an integer number (5633568).

Almost surely, 2142342320 is an apocalyptic number.

142342320 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 142342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225342720).

142342320 is an abundant number, since it is smaller than the sum of its proper divisors (308343120).

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

142342320 is a wasteful number, since it uses less digits than its factorization.

142342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12682 (or 12676 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 142342320 is about 11930.7300698658. The cubic root of 142342320 is about 522.1292379758.

Adding to 142342320 its reverse (23243241), we get a palindrome (165585561).

The spelling of 142342320 in words is "one hundred forty-two million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 12619 25238 37857 50476 63095 75714 100952 126190 151428 189285 201904 252380 302856 378570 504760 593093 605712 757140 1009520 1186186 1514280 1779279 2372372 2965465 3028560 3558558 4744744 5930930 7117116 8896395 9489488 11861860 14234232 17792790 23723720 28468464 35585580 47447440 71171160 142342320