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142116546 = 231113732269
BaseRepresentation
bin10000111100010…
…00011011000010
3100220102021020210
420132020123002
5242340212141
622034014550
73343653645
oct1036103302
9326367223
10142116546
11732482a0
123b717456
132359b840
1414c35a5c
15c723916
hex87886c2

142116546 has 64 divisors (see below), whose sum is σ = 338647680. Its totient is φ = 39191040.

The previous prime is 142116509. The next prime is 142116547. The reversal of 142116546 is 645611241.

It is a super-2 number, since 2×1421165462 = 40394225293940232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142116547) 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 31 ways as a sum of consecutive naturals, for example, 61500 + ... + 63768.

It is an arithmetic number, because the mean of its divisors is an integer number (5291370).

Almost surely, 2142116546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142116546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169323840).

142116546 is an abundant number, since it is smaller than the sum of its proper divisors (196531134).

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

142116546 is a wasteful number, since it uses less digits than its factorization.

142116546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371.

The product of its digits is 5760, while the sum is 30.

The square root of 142116546 is about 11921.2644463580. The cubic root of 142116546 is about 521.8530362396.

Adding to 142116546 its reverse (645611241), we get a palindrome (787727787).

The spelling of 142116546 in words is "one hundred forty-two million, one hundred sixteen thousand, five hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 73 78 143 146 219 286 429 438 803 858 949 1606 1898 2269 2409 2847 4538 4818 5694 6807 10439 13614 20878 24959 29497 31317 49918 58994 62634 74877 88491 149754 165637 176982 324467 331274 496911 648934 973401 993822 1822007 1946802 2153281 3644014 4306562 5466021 6459843 10932042 12919686 23686091 47372182 71058273 142116546