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540050112 = 2633744647
BaseRepresentation
bin100000001100001…
…000001011000000
31101122012101111000
4200030020023000
52101223100422
6125331052000
716245231060
oct4014101300
91348171430
10540050112
11257931708
12130a41000
1387b686a4
1451a1d3a0
1532629cac
hex203082c0

540050112 has 112 divisors (see below), whose sum is σ = 1814494720. Its totient is φ = 154296576.

The previous prime is 540050099. The next prime is 540050117. The reversal of 540050112 is 211050045.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (540050117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10228 + ... + 34419.

Almost surely, 2540050112 is an apocalyptic number.

It is an amenable number.

540050112 is an abundant number, since it is smaller than the sum of its proper divisors (1274444608).

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

540050112 is a wasteful number, since it uses less digits than its factorization.

540050112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44675 (or 44659 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 540050112 is about 23238.9782907941. The cubic root of 540050112 is about 814.3504739948.

The spelling of 540050112 in words is "five hundred forty million, fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 44647 89294 133941 178588 267882 312529 357176 401823 535764 625058 714352 803646 937587 1071528 1205469 1250116 1428704 1607292 1875174 2143056 2410938 2500232 2812761 2857408 3214584 3750348 4286112 4821876 5000464 5625522 6429168 7500696 8438283 8572224 9643752 10000928 11251044 12858336 15001392 16876566 19287504 20001856 22502088 25716672 30002784 33753132 38575008 45004176 60005568 67506264 77150016 90008352 135012528 180016704 270025056 540050112