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537984720 = 2433572131723
BaseRepresentation
bin100000000100001…
…111111011010000
31101111022110022000
4200010033323100
52100211002340
6125214514000
716221536400
oct4004177320
91344273260
10537984720
11256750979
12130205900
13875c4570
1451642800
153236cd30
hex2010fed0

537984720 has 960 divisors, whose sum is σ = 2564835840. Its totient is φ = 102187008.

The previous prime is 537984659. The next prime is 537984721. The reversal of 537984720 is 27489735.

537984720 is a `hidden beast` number, since 537 + 98 + 4 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537984721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23390629 + ... + 23390651.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2537984720 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 537984720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

537984720 is an abundant number, since it is smaller than the sum of its proper divisors (2026851120).

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

537984720 is a wasteful number, since it uses less digits than its factorization.

537984720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 537984720 is about 23194.4976233589. The cubic root of 537984720 is about 813.3110015069.

The spelling of 537984720 in words is "five hundred thirty-seven million, nine hundred eighty-four thousand, seven hundred twenty".