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272054133 = 34132959151
BaseRepresentation
bin10000001101110…
…011011101110101
3200221220210010000
4100031303131311
51024121213013
642555021513
76512264511
oct2015633565
9627823100
10272054133
1112a62732a
127713a899
1344494aa0
14281bb141
1518d3d973
hex10373775

272054133 has 80 divisors (see below), whose sum is σ = 463478400. Its totient is φ = 157852800.

The previous prime is 272054099. The next prime is 272054203. The reversal of 272054133 is 331450272.

It is not a de Polignac number, because 272054133 - 210 = 272053109 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 272054097 and 272054106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272054033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1801608 + ... + 1801758.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2272054133 is an apocalyptic number.

It is an amenable number.

272054133 is a deficient number, since it is larger than the sum of its proper divisors (191424267).

272054133 is a wasteful number, since it uses less digits than its factorization.

272054133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 272054133 is about 16494.0635684479. The cubic root of 272054133 is about 647.9653402244.

The spelling of 272054133 in words is "two hundred seventy-two million, fifty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 13 27 29 39 59 81 87 117 151 177 261 351 377 453 531 767 783 1053 1131 1359 1593 1711 1963 2301 2349 3393 4077 4379 4779 5133 5889 6903 8909 10179 12231 13137 15399 17667 20709 22243 26727 30537 39411 46197 53001 56927 62127 66729 80181 115817 118233 138591 159003 170781 200187 240543 258361 347451 354699 512343 600561 721629 775083 1042353 1537029 1801683 2325249 3127059 3358693 4611087 6975747 9381177 10076079 20927241 30228237 90684711 272054133