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540453600 = 253352131191
BaseRepresentation
bin100000001101101…
…010101011100000
31101122221212222000
4200031222223200
52101324003400
6125343444000
716251531321
oct4015525340
91348855860
10540453600
11258087875
12130bb6600
1387c7a23b
1451ac6448
15326a9600
hex2036aae0

540453600 has 288 divisors, whose sum is σ = 1979873280. Its totient is φ = 142272000.

The previous prime is 540453581. The next prime is 540453601. The reversal of 540453600 is 6354045.

540453600 is a `hidden beast` number, since 5 + 4 + 0 + 4 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540453601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2829505 + ... + 2829695.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2540453600 is an apocalyptic number.

540453600 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 540453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

540453600 is an abundant number, since it is smaller than the sum of its proper divisors (1439419680).

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

540453600 is a wasteful number, since it uses less digits than its factorization.

540453600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 540453600 is about 23247.6579465545. The cubic root of 540453600 is about 814.5532322449.

The spelling of 540453600 in words is "five hundred forty million, four hundred fifty-three thousand, six hundred".