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540054112 = 25137916433
BaseRepresentation
bin100000001100001…
…001001001100000
31101122012120222011
4200030021021200
52101223212422
6125331122304
716245245533
oct4014111140
91348176864
10540054112
11257934714
12130a43394
1387b6a460
1451a20a1a
153262b077
hex20309260

540054112 has 48 divisors (see below), whose sum is σ = 1159583040. Its totient is φ = 246085632.

The previous prime is 540054101. The next prime is 540054121. The reversal of 540054112 is 211450045.

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, 24648 + ... + 41080.

It is an arithmetic number, because the mean of its divisors is an integer number (24157980).

Almost surely, 2540054112 is an apocalyptic number.

540054112 is a gapful number since it is divisible by the number (52) 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 540054112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579791520).

540054112 is an abundant number, since it is smaller than the sum of its proper divisors (619528928).

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

540054112 is a wasteful number, since it uses less digits than its factorization.

540054112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16535 (or 16527 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 540054112 is about 23239.0643529381. The cubic root of 540054112 is about 814.3524845452.

The spelling of 540054112 in words is "five hundred forty million, fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 79 104 158 208 316 416 632 1027 1264 2054 2528 4108 8216 16432 16433 32864 32866 65732 131464 213629 262928 427258 525856 854516 1298207 1709032 2596414 3418064 5192828 6836128 10385656 16876691 20771312 33753382 41542624 67506764 135013528 270027056 540054112