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142112460 = 22357563601
BaseRepresentation
bin10000111100001…
…11011011001100
3100220102001122110
420132013123030
5242340044320
622033544020
73343636020
oct1036073314
9326361573
10142112460
1173245216
123b715010
1323599a19
1414c34380
15c7225e0
hex87876cc

142112460 has 96 divisors (see below), whose sum is σ = 456325632. Its totient is φ = 32371200.

The previous prime is 142112447. The next prime is 142112461. The reversal of 142112460 is 64211241.

It is a happy number.

142112460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (142112461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236160 + ... + 236760.

It is an arithmetic number, because the mean of its divisors is an integer number (4753392).

Almost surely, 2142112460 is an apocalyptic number.

142112460 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 142112460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228162816).

142112460 is an abundant number, since it is smaller than the sum of its proper divisors (314213172).

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

142112460 is a wasteful number, since it uses less digits than its factorization.

142112460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 142112460 is about 11921.0930706878. The cubic root of 142112460 is about 521.8480349174.

The spelling of 142112460 in words is "one hundred forty-two million, one hundred twelve thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 563 601 1126 1202 1689 1803 2252 2404 2815 3005 3378 3606 3941 4207 5630 6010 6756 7212 7882 8414 8445 9015 11260 11823 12020 12621 15764 16828 16890 18030 19705 21035 23646 25242 33780 36060 39410 42070 47292 50484 59115 63105 78820 84140 118230 126210 236460 252420 338363 676726 1015089 1353452 1691815 2030178 2368541 3383630 4060356 4737082 5075445 6767260 7105623 9474164 10150890 11842705 14211246 20301780 23685410 28422492 35528115 47370820 71056230 142112460