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536394240 = 2932531751
BaseRepresentation
bin11111111110001…
…011101000000000
31101101022122120100
4133332023220000
52044304103430
6125120442400
716202163414
oct3776135000
91341278510
10536394240
11255864a28
1212b779400
1387188655
145134ad44
1532156960
hex1ff8ba00

536394240 has 240 divisors, whose sum is σ = 1920162816. Its totient is φ = 138240000.

The previous prime is 536394239. The next prime is 536394323. The reversal of 536394240 is 42493635.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 536394195 and 536394204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713865 + ... + 714615.

Almost surely, 2536394240 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 536394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960081408).

536394240 is an abundant number, since it is smaller than the sum of its proper divisors (1383768576).

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

536394240 is a wasteful number, since it uses less digits than its factorization.

536394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 536394240 is about 23160.1865277463. The cubic root of 536394240 is about 812.5087285847.

The spelling of 536394240 in words is "five hundred thirty-six million, three hundred ninety-four thousand, two hundred forty".