Base | Representation |
---|---|
bin | 10000111110101… |
… | …01010010000000 |
3 | 100221000021002120 |
4 | 20133111102000 |
5 | 242430300420 |
6 | 22044444240 |
7 | 3346434531 |
oct | 1037252200 |
9 | 327007076 |
10 | 142431360 |
11 | 73442875 |
12 | 3b849680 |
13 | 2367bc16 |
14 | 14cb8688 |
15 | c786d40 |
hex | 87d5480 |
142431360 has 128 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 36741120.
The previous prime is 142431349. The next prime is 142431361. The reversal of 142431360 is 63134241.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1424313602 = 40573384622899200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 142431360.
It is not an unprimeable number, because it can be changed into a prime (142431361) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 58324 + ... + 60716.
It is an arithmetic number, because the mean of its divisors is an integer number (3662820).
Almost surely, 2142431360 is an apocalyptic number.
142431360 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 142431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).
142431360 is an abundant number, since it is smaller than the sum of its proper divisors (326409600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142431360 is a wasteful number, since it uses less digits than its factorization.
142431360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2446 (or 2434 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
The square root of 142431360 is about 11934.4610267913. The cubic root of 142431360 is about 522.2380851946.
The spelling of 142431360 in words is "one hundred forty-two million, four hundred thirty-one thousand, three hundred sixty".
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