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540480 = 2635563
BaseRepresentation
bin10000011111101000000
31000110101210
42003331000
5114243410
615330120
74410513
oct2037500
91013353
10540480
1133a086
12220940
1315c015
14100d7a
15aa220
hex83f40

540480 has 56 divisors (see below), whose sum is σ = 1719072. Its totient is φ = 143872.

The previous prime is 540469. The next prime is 540509. The reversal of 540480 is 84045.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679 + ... + 1241.

2540480 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 540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859536).

540480 is an abundant number, since it is smaller than the sum of its proper divisors (1178592).

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

540480 is a wasteful number, since it uses less digits than its factorization.

540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 540480 is about 735.1734489221. The cubic root of 540480 is about 81.4566495089.

The spelling of 540480 in words is "five hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 563 960 1126 1689 2252 2815 3378 4504 5630 6756 8445 9008 11260 13512 16890 18016 22520 27024 33780 36032 45040 54048 67560 90080 108096 135120 180160 270240 540480