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534960 = 24325743
BaseRepresentation
bin10000010100110110000
31000011211100
42002212300
5114104320
615244400
74355436
oct2024660
91004740
10534960
11335a18
12219700
1315965a
14dcd56
15a8790
hex829b0

534960 has 60 divisors (see below), whose sum is σ = 1798992. Its totient is φ = 142464.

The previous prime is 534949. The next prime is 534971. The reversal of 534960 is 69435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (534949) and next prime (534971).

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349 + ... + 1091.

2534960 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 534960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899496).

534960 is an abundant number, since it is smaller than the sum of its proper divisors (1264032).

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

534960 is a wasteful number, since it uses less digits than its factorization.

534960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 534960 is about 731.4095979682. The cubic root of 534960 is about 81.1783905547.

The spelling of 534960 in words is "five hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 743 1486 2229 2972 3715 4458 5944 6687 7430 8916 11145 11888 13374 14860 17832 22290 26748 29720 33435 35664 44580 53496 59440 66870 89160 106992 133740 178320 267480 534960