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142786116 = 2232112361257
BaseRepresentation
bin10001000001010…
…11111001000100
3100221200021201200
420200223321010
5243023123431
622100222500
73352443024
oct1040537104
9327607650
10142786116
1173665360
123b99aa30
1323774535
1414d6ba84
15c806ee6
hex882be44

142786116 has 144 divisors (see below), whose sum is σ = 419223168. Its totient is φ = 40550400.

The previous prime is 142786109. The next prime is 142786117. The reversal of 142786116 is 611687241.

It is a happy number.

142786116 is a `hidden beast` number, since 14 + 27 + 8 + 611 + 6 = 666.

It is a super-3 number, since 3×1427861163 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142786117) 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 47 ways as a sum of consecutive naturals, for example, 555460 + ... + 555716.

It is an arithmetic number, because the mean of its divisors is an integer number (2911272).

Almost surely, 2142786116 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 142786116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209611584).

142786116 is an abundant number, since it is smaller than the sum of its proper divisors (276437052).

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

142786116 is a wasteful number, since it uses less digits than its factorization.

142786116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 357 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 142786116 is about 11949.3144573235. The cubic root of 142786116 is about 522.6713078846.

The spelling of 142786116 in words is "one hundred forty-two million, seven hundred eighty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 61 66 69 92 99 122 132 138 183 198 207 244 253 257 276 366 396 414 506 514 549 671 732 759 771 828 1012 1028 1098 1342 1403 1518 1542 2013 2196 2277 2313 2684 2806 2827 3036 3084 4026 4209 4554 4626 5612 5654 5911 6039 8052 8418 8481 9108 9252 11308 11822 12078 12627 15433 15677 16836 16962 17733 23644 24156 25254 25443 30866 31354 33924 35466 46299 47031 50508 50886 53199 61732 62708 65021 70932 92598 94062 101772 106398 130042 138897 141093 172447 185196 188124 195063 212796 260084 277794 282186 344894 360571 390126 517341 555588 564372 585189 689788 721142 780252 1034682 1081713 1170378 1442284 1552023 2069364 2163426 2340756 3104046 3245139 3966281 4326852 6208092 6490278 7932562 11898843 12980556 15865124 23797686 35696529 47595372 71393058 142786116