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668040 = 233519293
BaseRepresentation
bin10100011000110001000
31020221101020
42203012020
5132334130
622152440
75451432
oct2430610
91227336
10668040
114169aa
12282720
131a50b9
14135652
15d2e10
hexa3188

668040 has 64 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 168192.

The previous prime is 668033. The next prime is 668047. The reversal of 668040 is 40866.

It is an interprime number because it is at equal distance from previous prime (668033) and next prime (668047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 668040.

It is not an unprimeable number, because it can be changed into a prime (668047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2134 + ... + 2426.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2668040 is an apocalyptic number.

668040 is a gapful number since it is divisible by the number (60) 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 668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

668040 is an abundant number, since it is smaller than the sum of its proper divisors (1448760).

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

668040 is a wasteful number, since it uses less digits than its factorization.

668040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 668040 is about 817.3371397410. The cubic root of 668040 is about 87.4179911890.

The spelling of 668040 in words is "six hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 293 380 456 570 586 760 879 1140 1172 1465 1758 2280 2344 2930 3516 4395 5567 5860 7032 8790 11134 11720 16701 17580 22268 27835 33402 35160 44536 55670 66804 83505 111340 133608 167010 222680 334020 668040