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640181256 = 23311131031811
BaseRepresentation
bin100110001010000…
…110010000001000
31122121121120120220
4212022012100020
52302341300011
6143305150040
721602310441
oct4612062010
91577546526
10640181256
112a9402720
1215a48b320
13a2826aa0
14610462c8
153b308506
hex26286408

640181256 has 128 divisors (see below), whose sum is σ = 1899555840. Its totient is φ = 177235200.

The previous prime is 640181251. The next prime is 640181263. The reversal of 640181256 is 652181046.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (640181251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352591 + ... + 354401.

It is an arithmetic number, because the mean of its divisors is an integer number (14840280).

Almost surely, 2640181256 is an apocalyptic number.

640181256 is a gapful number since it is divisible by the number (66) 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 640181256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949777920).

640181256 is an abundant number, since it is smaller than the sum of its proper divisors (1259374584).

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

640181256 is a wasteful number, since it uses less digits than its factorization.

640181256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 640181256 is about 25301.8034139861. The cubic root of 640181256 is about 861.8552233783.

The spelling of 640181256 in words is "six hundred forty million, one hundred eighty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 103 104 132 143 156 206 264 286 309 312 412 429 572 618 824 858 1133 1144 1236 1339 1716 1811 2266 2472 2678 3399 3432 3622 4017 4532 5356 5433 6798 7244 8034 9064 10712 10866 13596 14488 14729 16068 19921 21732 23543 27192 29458 32136 39842 43464 44187 47086 58916 59763 70629 79684 88374 94172 117832 119526 141258 159368 176748 186533 188344 239052 258973 282516 353496 373066 478104 517946 559599 565032 746132 776919 1035892 1119198 1492264 1553838 2051863 2071784 2238396 2424929 3107676 4103726 4476792 4849858 6155589 6215352 7274787 8207452 9699716 12311178 14549574 16414904 19399432 24622356 26674219 29099148 49244712 53348438 58198296 80022657 106696876 160045314 213393752 320090628 640181256