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540454068 = 2232711241809
BaseRepresentation
bin100000001101101…
…010110010110100
31101122221220121100
4200031222302310
52101324012233
6125343450100
716251532560
oct4015526264
91348856540
10540454068
11258088160
12130bb6930
1387c7a50b
1451ac66a0
15326a9813
hex2036acb4

540454068 has 144 divisors (see below), whose sum is σ = 1712430720. Its totient is φ = 139622400.

The previous prime is 540454009. The next prime is 540454097. The reversal of 540454068 is 860454045.

540454068 is a `hidden beast` number, since 54 + 0 + 4 + 540 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667648 + ... + 668456.

It is an arithmetic number, because the mean of its divisors is an integer number (11891880).

Almost surely, 2540454068 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 540454068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856215360).

540454068 is an abundant number, since it is smaller than the sum of its proper divisors (1171976652).

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

540454068 is a wasteful number, since it uses less digits than its factorization.

540454068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 540454068 is about 23247.6680120824. The cubic root of 540454068 is about 814.5534673628.

The spelling of 540454068 in words is "five hundred forty million, four hundred fifty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 241 252 308 396 462 482 693 723 809 924 964 1386 1446 1618 1687 2169 2427 2651 2772 2892 3236 3374 4338 4854 5061 5302 5663 6748 7281 7953 8676 8899 9708 10122 10604 11326 14562 15183 15906 16989 17798 18557 20244 22652 23859 26697 29124 30366 31812 33978 35596 37114 47718 50967 53394 55671 60732 62293 67956 74228 80091 95436 101934 106788 111342 124586 160182 167013 186879 194969 203868 222684 249172 320364 334026 373758 389938 560637 584907 668052 747516 779876 1121274 1169814 1364783 1754721 2144659 2242548 2339628 2729566 3509442 4094349 4289318 5459132 6433977 7018884 8188698 8578636 12283047 12867954 15012613 16377396 19301931 24566094 25735908 30025226 38603862 45037839 49132188 60050452 77207724 90075678 135113517 180151356 270227034 540454068