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643520240 = 245114715559
BaseRepresentation
bin100110010110110…
…101011011110000
31122211220012210222
4212112311123300
52304220121430
6143504512212
721642555206
oct4626653360
91584805728
10643520240
11300283310
1215b61b668
13a342580c
1461675076
153b7679e5
hex265b56f0

643520240 has 80 divisors (see below), whose sum is σ = 1667036160. Its totient is φ = 229013760.

The previous prime is 643520221. The next prime is 643520263. The reversal of 643520240 is 42025346.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33581 + ... + 49139.

It is an arithmetic number, because the mean of its divisors is an integer number (20837952).

Almost surely, 2643520240 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 643520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833518080).

643520240 is an abundant number, since it is smaller than the sum of its proper divisors (1023515920).

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

643520240 is a wasteful number, since it uses less digits than its factorization.

643520240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15630 (or 15624 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 643520240 is about 25367.7007235579. The cubic root of 643520240 is about 863.3510144144.

Adding to 643520240 its reverse (42025346), we get a palindrome (685545586).

The spelling of 643520240 in words is "six hundred forty-three million, five hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 8272 10340 15559 20680 31118 41360 62236 77795 124472 155590 171149 248944 311180 342298 622360 684596 731273 855745 1244720 1369192 1462546 1711490 2738384 2925092 3422980 3656365 5850184 6845960 7312730 8044003 11700368 13691920 14625460 16088006 29250920 32176012 40220015 58501840 64352024 80440030 128704048 160880060 321760120 643520240