Search a number
-
+
640046000 = 24531147619
BaseRepresentation
bin100110001001100…
…101001110110000
31122121100201001102
4212021211032300
52302322433000
6143302223532
721601205216
oct4611451660
91577321042
10640046000
112a9320040
1215a424ba8
13a27aa359
146100ccb6
153b2cd3d5
hex262653b0

640046000 has 160 divisors (see below), whose sum is σ = 1727032320. Its totient is φ = 227424000.

The previous prime is 640045999. The next prime is 640046009. The reversal of 640046000 is 640046.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (640046009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033691 + ... + 1034309.

It is an arithmetic number, because the mean of its divisors is an integer number (10793952).

Almost surely, 2640046000 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 640046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863516160).

640046000 is an abundant number, since it is smaller than the sum of its proper divisors (1086986320).

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

640046000 is a wasteful number, since it uses less digits than its factorization.

640046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 640046000 is about 25299.1304198385. The cubic root of 640046000 is about 861.7945221839.

Adding to 640046000 its reverse (640046), we get a palindrome (640686046).

640046000 divided by its reverse (640046) gives a cube (1000 = 103).

The spelling of 640046000 in words is "six hundred forty million, forty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 125 176 188 200 220 235 250 275 376 400 440 470 500 517 550 619 752 880 940 1000 1034 1100 1175 1238 1375 1880 2000 2068 2200 2350 2476 2585 2750 3095 3760 4136 4400 4700 4952 5170 5500 5875 6190 6809 8272 9400 9904 10340 11000 11750 12380 12925 13618 15475 18800 20680 22000 23500 24760 25850 27236 29093 30950 34045 41360 47000 49520 51700 54472 58186 61900 64625 68090 77375 94000 103400 108944 116372 123800 129250 136180 145465 154750 170225 206800 232744 247600 258500 272360 290930 309500 320023 340450 465488 517000 544720 581860 619000 640046 680900 727325 851125 1034000 1163720 1238000 1280092 1361800 1454650 1600115 1702250 2327440 2560184 2723600 2909300 3200230 3404500 3636625 5120368 5818600 6400460 6809000 7273250 8000575 11637200 12800920 13618000 14546500 16001150 25601840 29093000 32002300 40002875 58186000 64004600 80005750 128009200 160011500 320023000 640046000