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540486016 = 2772326227
BaseRepresentation
bin100000001101110…
…010100110000000
31101200000112102121
4200031302212000
52101331023031
6125344254024
716252024660
oct4015624600
91350015377
10540486016
112580aa164
12131011314
1387c8bc15
1451ad41a0
15326b4011
hex20372980

540486016 has 64 divisors (see below), whose sum is σ = 1284122880. Its totient is φ = 221557248.

The previous prime is 540486013. The next prime is 540486059. The reversal of 540486016 is 610684045.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540486013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7495 + ... + 33721.

It is an arithmetic number, because the mean of its divisors is an integer number (20064420).

Almost surely, 2540486016 is an apocalyptic number.

540486016 is a gapful number since it is divisible by the number (56) 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 540486016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642061440).

540486016 is an abundant number, since it is smaller than the sum of its proper divisors (743636864).

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

540486016 is a wasteful number, since it uses less digits than its factorization.

540486016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26271 (or 26259 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 540486016 is about 23248.3551246104. The cubic root of 540486016 is about 814.5695173492.

The spelling of 540486016 in words is "five hundred forty million, four hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 10304 20608 26227 52454 104908 183589 209816 367178 419632 603221 734356 839264 1206442 1468712 1678528 2412884 2937424 3357056 4222547 4825768 5874848 8445094 9651536 11749696 16890188 19303072 23499392 33780376 38606144 67560752 77212288 135121504 270243008 540486016