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533051120 = 24578271151
BaseRepresentation
bin11111110001011…
…011011011110000
31101011000210200002
4133301123123300
52042430113440
6124521045132
716131600620
oct3761333360
91334023602
10533051120
11253991218
1212a6267a8
1386587a84
1450b1a880
1531be6115
hex1fc5b6f0

533051120 has 80 divisors (see below), whose sum is σ = 1419337728. Its totient is φ = 182380800.

The previous prime is 533051089. The next prime is 533051179. The reversal of 533051120 is 21150335.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 533051092 and 533051101.

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, 462545 + ... + 463695.

Almost surely, 2533051120 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 533051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709668864).

533051120 is an abundant number, since it is smaller than the sum of its proper divisors (886286608).

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

533051120 is a wasteful number, since it uses less digits than its factorization.

533051120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 533051120 is about 23087.8998611827. The cubic root of 533051120 is about 810.8172009643.

The spelling of 533051120 in words is "five hundred thirty-three million, fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 827 1151 1654 2302 3308 4135 4604 5755 5789 6616 8057 8270 9208 11510 11578 13232 16114 16540 18416 23020 23156 28945 32228 33080 40285 46040 46312 57890 64456 66160 80570 92080 92624 115780 128912 161140 231560 322280 463120 644560 951877 1903754 3807508 4759385 6663139 7615016 9518770 13326278 15230032 19037540 26652556 33315695 38075080 53305112 66631390 76150160 106610224 133262780 266525560 533051120