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142241120 = 2557218143
BaseRepresentation
bin10000111101001…
…10110101100000
3100220122121010122
420132212311200
5242403203440
622040415412
73345013100
oct1036466540
9326577118
10142241120
117332294a
123b777568
1323613458
1414c69200
15c74a7b5
hex87a6d60

142241120 has 72 divisors (see below), whose sum is σ = 390930624. Its totient is φ = 48765696.

The previous prime is 142241117. The next prime is 142241147. The reversal of 142241120 is 21142241.

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 11 ways as a sum of consecutive naturals, for example, 1232 + ... + 16911.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 2142241120 is an apocalyptic number.

142241120 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 142241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195465312).

142241120 is an abundant number, since it is smaller than the sum of its proper divisors (248689504).

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

142241120 is a wasteful number, since it uses less digits than its factorization.

142241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18172 (or 18157 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 142241120 is about 11926.4881671010. The cubic root of 142241120 is about 522.0054706003.

Adding to 142241120 its reverse (21142241), we get a palindrome (163383361).

The spelling of 142241120 in words is "one hundred forty-two million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 18143 36286 72572 90715 127001 145144 181430 254002 290288 362860 508004 580576 635005 725720 889007 1016008 1270010 1451440 1778014 2032016 2540020 2902880 3556028 4064032 4445035 5080040 7112056 8890070 10160080 14224112 17780140 20320160 28448224 35560280 71120560 142241120