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537501360 = 243511283223
BaseRepresentation
bin100000000010011…
…001111010110000
31101110101220020210
4200002121322300
52100100020420
6125200304120
716214454234
oct4002317260
91343356223
10537501360
11256450800
12130012040
1387485556
14515585c4
15322c49e0
hex20099eb0

537501360 has 240 divisors, whose sum is σ = 1861880832. Its totient is φ = 128156160.

The previous prime is 537501287. The next prime is 537501361. The reversal of 537501360 is 63105735.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (537501361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410209 + ... + 2410431.

Almost surely, 2537501360 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 537501360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930940416).

537501360 is an abundant number, since it is smaller than the sum of its proper divisors (1324379472).

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

537501360 is a wasteful number, since it uses less digits than its factorization.

537501360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 537501360 is about 23184.0755692350. The cubic root of 537501360 is about 813.0673515883.

The spelling of 537501360 in words is "five hundred thirty-seven million, five hundred one thousand, three hundred sixty".