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533053120 = 2653374943
BaseRepresentation
bin11111110001011…
…011111011000000
31101011000220102011
4133301123323000
52042430144440
6124521102304
716131606505
oct3761337300
91334026364
10533053120
11253992776
1212a627994
1386588962
1450b1b4ac
1531be69ea
hex1fc5bec0

533053120 has 56 divisors (see below), whose sum is σ = 1273356864. Its totient is φ = 212545536.

The previous prime is 533053109. The next prime is 533053159. The reversal of 533053120 is 21350335.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 533053091 and 533053100.

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 7 ways as a sum of consecutive naturals, for example, 105369 + ... + 110311.

Almost surely, 2533053120 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 533053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636678432).

533053120 is an abundant number, since it is smaller than the sum of its proper divisors (740303744).

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

533053120 is a wasteful number, since it uses less digits than its factorization.

533053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 533053120 is about 23087.9431738732. The cubic root of 533053120 is about 810.8182150211.

The spelling of 533053120 in words is "five hundred thirty-three million, fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 337 674 1348 1685 2696 3370 4943 5392 6740 9886 10784 13480 19772 21568 24715 26960 39544 49430 53920 79088 98860 107840 158176 197720 316352 395440 790880 1581760 1665791 3331582 6663164 8328955 13326328 16657910 26652656 33315820 53305312 66631640 106610624 133263280 266526560 533053120