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142321140 = 223251360821
BaseRepresentation
bin10000111101110…
…10010111110100
3100220210122220100
420132322113310
5242413234030
622042234100
73345465303
oct1036722764
9326718810
10142321140
1173377a85
123b7b5930
13236409c0
1414c8a43a
15c764360
hex87ba5f4

142321140 has 72 divisors (see below), whose sum is σ = 464923368. Its totient is φ = 35032320.

The previous prime is 142321139. The next prime is 142321141. The reversal of 142321140 is 41123241.

It is an interprime number because it is at equal distance from previous prime (142321139) and next prime (142321141).

It can be written as a sum of positive squares in 4 ways, for example, as 3175524 + 139145616 = 1782^2 + 11796^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142321141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28071 + ... + 32750.

It is an arithmetic number, because the mean of its divisors is an integer number (6457269).

Almost surely, 2142321140 is an apocalyptic number.

142321140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142321140 is an abundant number, since it is smaller than the sum of its proper divisors (322602228).

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

142321140 is a wasteful number, since it uses less digits than its factorization.

142321140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60849 (or 60844 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142321140 is about 11929.8424130413. The cubic root of 142321140 is about 522.1033397379.

Adding to 142321140 its reverse (41123241), we get a palindrome (183444381).

The spelling of 142321140 in words is "one hundred forty-two million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 60821 121642 182463 243284 304105 364926 547389 608210 729852 790673 912315 1094778 1216420 1581346 1824630 2189556 2372019 2736945 3162692 3649260 3953365 4744038 5473890 7116057 7906730 9488076 10947780 11860095 14232114 15813460 23720190 28464228 35580285 47440380 71160570 142321140