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532640640 = 2735739631
BaseRepresentation
bin11111101111110…
…111001110000000
31101010020221121010
4133233313032000
52042324000030
6124504200520
716125241110
oct3757671600
91333227533
10532640640
11253730884
1212a469140
1386472c9c
1450a51040
1531b646b0
hex1fbf7380

532640640 has 128 divisors (see below), whose sum is σ = 1940382720. Its totient is φ = 121743360.

The previous prime is 532640621. The next prime is 532640653. The reversal of 532640640 is 46046235.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 532640598 and 532640607.

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, 6376 + ... + 33255.

It is an arithmetic number, because the mean of its divisors is an integer number (15159240).

Almost surely, 2532640640 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 532640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970191360).

532640640 is an abundant number, since it is smaller than the sum of its proper divisors (1407742080).

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

532640640 is a wasteful number, since it uses less digits than its factorization.

532640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39660 (or 39648 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 532640640 is about 23079.0086442204. The cubic root of 532640640 is about 810.6090222362.

Adding to 532640640 its reverse (46046235), we get a palindrome (578686875).

The spelling of 532640640 in words is "five hundred thirty-two million, six hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 39631 79262 118893 158524 198155 237786 277417 317048 396310 475572 554834 594465 634096 792620 832251 951144 1109668 1188930 1268192 1387085 1585240 1664502 1902288 2219336 2377860 2536384 2774170 3170480 3329004 3804576 4161255 4438672 4755720 5072768 5548340 6340960 6658008 7609152 8322510 8877344 9511440 11096680 12681920 13316016 15218304 16645020 17754688 19022880 22193360 25363840 26632032 33290040 35509376 38045760 44386720 53264064 66580080 76091520 88773440 106528128 133160160 177546880 266320320 532640640