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140360 = 23511229
BaseRepresentation
bin100010010001001000
321010112112
4202101020
513442420
63001452
71123133
oct422110
9233475
10140360
1196500
1269288
134bb6c
143921a
152b8c5
hex22448

140360 has 48 divisors (see below), whose sum is σ = 359100. Its totient is φ = 49280.

The previous prime is 140351. The next prime is 140363. The reversal of 140360 is 63041.

Added to its reverse (63041) it gives a square (203401 = 4512).

It can be written as a sum of positive squares in 2 ways, for example, as 139876 + 484 = 374^2 + 22^2 .

It is a plaindrome in base 16.

It is a nialpdrome in base 8 and base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 140360.

It is not an unprimeable number, because it can be changed into a prime (140363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4826 + ... + 4854.

2140360 is an apocalyptic number.

140360 is a gapful number since it is divisible by the number (10) 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 140360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179550).

140360 is an abundant number, since it is smaller than the sum of its proper divisors (218740).

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

140360 is a wasteful number, since it uses less digits than its factorization.

140360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 140360 is about 374.6465000504. The cubic root of 140360 is about 51.9694100163.

Adding to 140360 its reverse (63041), we get a square (203401 = 4512).

The spelling of 140360 in words is "one hundred forty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 121 145 220 232 242 290 319 440 484 580 605 638 968 1160 1210 1276 1595 2420 2552 3190 3509 4840 6380 7018 12760 14036 17545 28072 35090 70180 140360