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640978940 = 2257311131307
BaseRepresentation
bin100110001101001…
…000111111111100
31122200010002210202
4212031020333330
52303042311230
6143334223032
721612142160
oct4615107774
91580102722
10640978940
112a98a7a68
1215a7b4a78
13a2a45ba4
14611b2ca0
153b414a45
hex26348ffc

640978940 has 96 divisors (see below), whose sum is σ = 1603252224. Its totient is φ = 210631680.

The previous prime is 640978937. The next prime is 640978957. The reversal of 640978940 is 49879046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489767 + ... + 491073.

It is an arithmetic number, because the mean of its divisors is an integer number (16700544).

Almost surely, 2640978940 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 640978940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801626112).

640978940 is an abundant number, since it is smaller than the sum of its proper divisors (962273284).

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

640978940 is a wasteful number, since it uses less digits than its factorization.

640978940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 640978940 is about 25317.5618889339. The cubic root of 640978940 is about 862.2130401528.

It can be divided in two parts, 64097 and 8940, that added together give a palindrome (73037).

The spelling of 640978940 in words is "six hundred forty million, nine hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 113 124 140 155 217 226 310 434 452 565 620 791 868 1085 1130 1307 1582 2170 2260 2614 3164 3503 3955 4340 5228 6535 7006 7910 9149 13070 14012 15820 17515 18298 24521 26140 35030 36596 40517 45745 49042 70060 81034 91490 98084 122605 147691 162068 182980 202585 245210 283619 295382 405170 490420 567238 590764 738455 810340 1033837 1134476 1418095 1476910 2067674 2836190 2953820 4135348 4578421 5169185 5672380 9156842 10338370 18313684 20676740 22892105 32048947 45784210 64097894 91568420 128195788 160244735 320489470 640978940