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142643268 = 2234676571
BaseRepresentation
bin10001000000010…
…01000001000100
3100221102000210000
420200021001010
5243004041033
622053201300
73351306405
oct1040110104
9327360700
10142643268
1173577aa9
123b930230
1323724501
1414d319ac
15c7c9a13
hex8809044

142643268 has 60 divisors (see below), whose sum is σ = 378520912. Its totient is φ = 46830960.

The previous prime is 142643239. The next prime is 142643287. The reversal of 142643268 is 862346241.

142643268 is a `hidden beast` number, since 1 + 4 + 2 + 643 + 2 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18423 + ... + 24993.

Almost surely, 2142643268 is an apocalyptic number.

142643268 is a gapful number since it is divisible by the number (18) 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 142643268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189260456).

142643268 is an abundant number, since it is smaller than the sum of its proper divisors (235877644).

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

142643268 is a wasteful number, since it uses less digits than its factorization.

142643268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6643 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 142643268 is about 11943.3357149500. The cubic root of 142643268 is about 522.4969504488.

The spelling of 142643268 in words is "one hundred forty-two million, six hundred forty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 402 603 804 1206 1809 2412 3618 5427 6571 7236 10854 13142 19713 21708 26284 39426 59139 78852 118278 177417 236556 354834 440257 532251 709668 880514 1064502 1320771 1761028 2129004 2641542 3962313 5283084 7924626 11886939 15849252 23773878 35660817 47547756 71321634 142643268