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140608 = 26133
BaseRepresentation
bin100010010101000000
321010212201
4202111000
513444413
63002544
71123636
oct422500
9233781
10140608
1196706
1269454
134c000
1439356
152b9dd
hex22540

140608 has 28 divisors (see below), whose sum is σ = 302260. Its totient is φ = 64896.

The previous prime is 140603. The next prime is 140611. The reversal of 140608 is 806041.

Adding to 140608 its reverse (806041), we get a palindrome (946649).

The cubic root of 140608 is 52.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 135424 = 72^2 + 368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140603) 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 3 ways as a sum of consecutive naturals, for example, 10810 + ... + 10822.

It is an arithmetic number, because the mean of its divisors is an integer number (10795).

140608 is a Friedman number, since it can be written as (60-8)^(4-1-0), using all its digits and the basic arithmetic operations.

2140608 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 140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151130).

140608 is an abundant number, since it is smaller than the sum of its proper divisors (161652).

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

140608 is an frugal number, since it uses more digits than its factorization.

140608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 140608 is about 374.9773326483.

The spelling of 140608 in words is "one hundred forty thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2197 2704 4394 5408 8788 10816 17576 35152 70304 140608