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142866864 = 24327271523
BaseRepresentation
bin10001000001111…
…11100110110000
3100221211101111100
420200333212300
5243033214424
622102044400
73353230320
oct1040774660
9327741440
10142866864
117370aa98
123ba19700
13237a220a
1414d8d280
15c820dc9
hex883f9b0

142866864 has 120 divisors (see below), whose sum is σ = 459510272. Its totient is φ = 40590720.

The previous prime is 142866859. The next prime is 142866877. The reversal of 142866864 is 468668241.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272907 + ... + 273429.

Almost surely, 2142866864 is an apocalyptic number.

142866864 is a gapful number since it is divisible by the number (14) 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 142866864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229755136).

142866864 is an abundant number, since it is smaller than the sum of its proper divisors (316643408).

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

142866864 is a wasteful number, since it uses less digits than its factorization.

142866864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 142866864 is about 11952.6927510080. The cubic root of 142866864 is about 522.7698158503.

The spelling of 142866864 in words is "one hundred forty-two million, eight hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 271 336 504 523 542 813 1008 1046 1084 1569 1626 1897 2092 2168 2439 3138 3252 3661 3794 4184 4336 4707 4878 5691 6276 6504 7322 7588 8368 9414 9756 10983 11382 12552 13008 14644 15176 17073 18828 19512 21966 22764 25104 29288 30352 32949 34146 37656 39024 43932 45528 58576 65898 68292 75312 87864 91056 131796 136584 141733 175728 263592 273168 283466 425199 527184 566932 850398 992131 1133864 1275597 1700796 1984262 2267728 2551194 2976393 3401592 3968524 5102388 5952786 6803184 7937048 8929179 10204776 11905572 15874096 17858358 20409552 23811144 35716716 47622288 71433432 142866864