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140288 = 210137
BaseRepresentation
bin100010010000000000
321010102212
4202100000
513442123
63001252
71123001
oct422000
9233385
10140288
1196445
1269228
134bb15
14391a8
152b878
hex22400

140288 has 22 divisors (see below), whose sum is σ = 282486. Its totient is φ = 69632.

The previous prime is 140281. The next prime is 140297. The reversal of 140288 is 882041.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 16384 = 352^2 + 128^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 140288.

It is not an unprimeable number, because it can be changed into a prime (140281) by changing a digit.

140288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 956 + ... + 1092.

2140288 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 140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141243).

140288 is an abundant number, since it is smaller than the sum of its proper divisors (142198).

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

140288 is an equidigital number, since it uses as much as digits as its factorization.

140288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 140288 is about 374.5503971430. The cubic root of 140288 is about 51.9605223049.

The spelling of 140288 in words is "one hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1024 1096 2192 4384 8768 17536 35072 70144 140288