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540004500 = 223253723179
BaseRepresentation
bin100000001011111…
…101000010010100
31101122010001220200
4200023331002110
52101220121000
6125330100500
716244651100
oct4013750224
91348101820
10540004500
11257900412
12130a1a730
1387b509b9
1451a0a900
153261b500
hex202fd094

540004500 has 432 divisors, whose sum is σ = 2071480320. Its totient is φ = 117936000.

The previous prime is 540004499. The next prime is 540004519. The reversal of 540004500 is 5400045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6835461 + ... + 6835539.

Almost surely, 2540004500 is an apocalyptic number.

540004500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035740160).

540004500 is an abundant number, since it is smaller than the sum of its proper divisors (1531475820).

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

540004500 is a wasteful number, since it uses less digits than its factorization.

540004500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 540004500 is about 23237.9969016264. The cubic root of 540004500 is about 814.3275469869.

Adding to 540004500 its reverse (5400045), we get a palindrome (545404545).

540004500 divided by its reverse (5400045) gives a square (100 = 102).

The spelling of 540004500 in words is "five hundred forty million, four thousand, five hundred".