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640223040 = 26355312583
BaseRepresentation
bin100110001010010…
…000011101000000
31122121200200220110
4212022100131000
52302344114130
6143310111320
721602543322
oct4612203500
91577620813
10640223040
112a9431056
1215a4ab540
13a283cb02
1461057612
153b315ab0
hex26290740

640223040 has 112 divisors (see below), whose sum is σ = 2071225728. Its totient is φ = 167491584.

The previous prime is 640223029. The next prime is 640223047. The reversal of 640223040 is 40322046.

It is a junction number, because it is equal to n+sod(n) for n = 640222998 and 640223016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640223047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44589 + ... + 57171.

Almost surely, 2640223040 is an apocalyptic number.

640223040 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 640223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035612864).

640223040 is an abundant number, since it is smaller than the sum of its proper divisors (1431002688).

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

640223040 is a wasteful number, since it uses less digits than its factorization.

640223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12656 (or 12646 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 640223040 is about 25302.6291124065. The cubic root of 640223040 is about 861.8739737842.

Adding to 640223040 its reverse (40322046), we get a palindrome (680545086).

The spelling of 640223040 in words is "six hundred forty million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1272 1590 1696 2120 2544 3180 3392 4240 5088 6360 8480 10176 12583 12720 16960 25166 25440 37749 50332 50880 62915 75498 100664 125830 150996 188745 201328 251660 301992 377490 402656 503320 603984 666899 754980 805312 1006640 1207968 1333798 1509960 2000697 2013280 2415936 2667596 3019920 3334495 4001394 4026560 5335192 6039840 6668990 8002788 10003485 10670384 12079680 13337980 16005576 20006970 21340768 26675960 32011152 40013940 42681536 53351920 64022304 80027880 106703840 128044608 160055760 213407680 320111520 640223040