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534742560 = 2534511331
BaseRepresentation
bin11111110111111…
…000011000100000
31101021012201220000
4133313320120200
52043343230220
6125021220000
716152144132
oct3767703040
91337181800
10534742560
11254937000
1212b101600
1386a2a921
145103b052
1531e2c390
hex1fdf8620

534742560 has 480 divisors, whose sum is σ = 2142733824. Its totient is φ = 125452800.

The previous prime is 534742543. The next prime is 534742567. The reversal of 534742560 is 65247435.

534742560 is a `hidden beast` number, since 53 + 4 + 7 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (534742567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17249745 + ... + 17249775.

Almost surely, 2534742560 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 534742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071366912).

534742560 is an abundant number, since it is smaller than the sum of its proper divisors (1607991264).

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

534742560 is a wasteful number, since it uses less digits than its factorization.

534742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 534742560 is about 23124.5012919198. The cubic root of 534742560 is about 811.6739046663.

Adding to 534742560 its reverse (65247435), we get a palindrome (599989995).

The spelling of 534742560 in words is "five hundred thirty-four million, seven hundred forty-two thousand, five hundred sixty".