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540441720 = 23355713247
BaseRepresentation
bin100000001101100…
…111110001111000
31101122221021200000
4200031213301320
52101323113340
6125343313000
716251451560
oct4015476170
91348837600
10540441720
11258079955
12130bab760
1387c74a00
1451ac1da0
15326a5d30
hex20367c78

540441720 has 576 divisors, whose sum is σ = 2302110720. Its totient is φ = 111601152.

The previous prime is 540441701. The next prime is 540441739. The reversal of 540441720 is 27144045.

It is an interprime number because it is at equal distance from previous prime (540441701) and next prime (540441739).

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

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, 11498737 + ... + 11498783.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2540441720 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 540441720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151055360).

540441720 is an abundant number, since it is smaller than the sum of its proper divisors (1761669000).

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

540441720 is a wasteful number, since it uses less digits than its factorization.

540441720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 540441720 is about 23247.4024355411. The cubic root of 540441720 is about 814.5472638243.

Adding to 540441720 its reverse (27144045), we get a palindrome (567585765).

The spelling of 540441720 in words is "five hundred forty million, four hundred forty-one thousand, seven hundred twenty".