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533240320 = 295192577
BaseRepresentation
bin11111110010001…
…001101000000000
31101011101102012111
4133302021220000
52043002142240
6124525105104
716133316334
oct3762115000
91334342174
10533240320
11254000388
1212a6b8194
1386622c22
1450b697c4
1531c321ea
hex1fc89a00

533240320 has 120 divisors (see below), whose sum is σ = 1351698084. Its totient is φ = 201719808.

The previous prime is 533240297. The next prime is 533240359. The reversal of 533240320 is 23042335.

It can be written as a sum of positive squares in 2 ways, for example, as 492484864 + 40755456 = 22192^2 + 6384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 533240291 and 533240300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 923872 + ... + 924448.

Almost surely, 2533240320 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 533240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675849042).

533240320 is an abundant number, since it is smaller than the sum of its proper divisors (818457764).

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

533240320 is an equidigital number, since it uses as much as digits as its factorization.

533240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 533240320 is about 23091.9968820369. The cubic root of 533240320 is about 810.9131195121.

Adding to 533240320 its reverse (23042335), we get a palindrome (556282655).

The spelling of 533240320 in words is "five hundred thirty-three million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 361 380 512 577 608 640 722 760 1154 1216 1280 1444 1520 1805 2308 2432 2560 2885 2888 3040 3610 4616 4864 5770 5776 6080 7220 9232 9728 10963 11540 11552 12160 14440 18464 21926 23080 23104 24320 28880 36928 43852 46160 46208 48640 54815 57760 73856 87704 92320 92416 109630 115520 147712 175408 184640 184832 208297 219260 231040 295424 350816 369280 416594 438520 462080 701632 738560 833188 877040 924160 1041485 1403264 1477120 1666376 1754080 2082970 2806528 3332752 3508160 4165940 5613056 6665504 7016320 8331880 13331008 14032640 16663760 26662016 28065280 33327520 53324032 66655040 106648064 133310080 266620160 533240320