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142727104 = 26131710091
BaseRepresentation
bin10001000000111…
…01011111000000
3100221120021210001
420200131133000
5243014231404
622055045344
73352106002
oct1040353700
9327507701
10142727104
1173624a93
123b970854
1323753710
1414d54372
15c7e47a4
hex881d7c0

142727104 has 56 divisors (see below), whose sum is σ = 322984368. Its totient is φ = 61992960.

The previous prime is 142727099. The next prime is 142727141. The reversal of 142727104 is 401727241.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9099 + ... + 19189.

It is an arithmetic number, because the mean of its divisors is an integer number (5767578).

Almost surely, 2142727104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161492184).

142727104 is an abundant number, since it is smaller than the sum of its proper divisors (180257264).

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

142727104 is a wasteful number, since it uses less digits than its factorization.

142727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133 (or 10123 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 142727104 is about 11946.8449391461. The cubic root of 142727104 is about 522.5992931112.

The spelling of 142727104 in words is "one hundred forty-two million, seven hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 10091 14144 20182 40364 80728 131183 161456 171547 262366 322912 343094 524732 645824 686188 1049464 1372376 2098928 2230111 2744752 4197856 4460222 5489504 8395712 8920444 10979008 17840888 35681776 71363552 142727104