Search a number
-
+
54700191 = 3471341181
BaseRepresentation
bin1101000010101…
…0100010011111
310210221001120000
43100222202133
5103000401231
65232225343
71232641530
oct320524237
9123831500
1054700191
1128971077
121639b253
13b4428a0
14739c687
154c076e6
hex342a89f

54700191 has 80 divisors (see below), whose sum is σ = 103591488. Its totient is φ = 27993600.

The previous prime is 54700189. The next prime is 54700199. The reversal of 54700191 is 19100745.

54700191 is a `hidden beast` number, since 5 + 470 + 0 + 191 = 666.

54700191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54700191 - 21 = 54700189 is a prime.

It is a super-2 number, since 2×547001912 = 5984221790872962, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54700199) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 302121 + ... + 302301.

Almost surely, 254700191 is an apocalyptic number.

54700191 is a deficient number, since it is larger than the sum of its proper divisors (48891297).

54700191 is a wasteful number, since it uses less digits than its factorization.

54700191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 54700191 is about 7395.9577473104. The cubic root of 54700191 is about 379.6029810044.

The spelling of 54700191 in words is "fifty-four million, seven hundred thousand, one hundred ninety-one".

Divisors: 1 3 7 9 13 21 27 39 41 63 81 91 117 123 181 189 273 287 351 369 533 543 567 819 861 1053 1107 1267 1599 1629 2353 2457 2583 3321 3731 3801 4797 4887 7059 7371 7421 7749 11193 11403 14391 14661 16471 21177 22263 23247 33579 34209 43173 49413 51947 63531 66789 96473 100737 102627 148239 155841 190593 200367 289419 302211 444717 467523 601101 675311 868257 1334151 1402569 2025933 2604771 4207707 6077799 7814313 18233397 54700191