Search a number
-
+
27053334 = 232711131149
BaseRepresentation
bin110011100110…
…0110100010110
31212220110012100
41213030310112
523411201314
62403502530
7445643460
oct147146426
955813170
1027053334
11142a8630
129087a46
1357b29b9
143843130
152595c09
hex19ccd16

27053334 has 96 divisors (see below), whose sum is σ = 74131200. Its totient is φ = 6926400.

The previous prime is 27053303. The next prime is 27053347. The reversal of 27053334 is 43335072.

It is a junction number, because it is equal to n+sod(n) for n = 27053298 and 27053307.

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, 181492 + ... + 181640.

It is an arithmetic number, because the mean of its divisors is an integer number (772200).

Almost surely, 227053334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27053334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37065600).

27053334 is an abundant number, since it is smaller than the sum of its proper divisors (47077866).

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

27053334 is a wasteful number, since it uses less digits than its factorization.

27053334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 27053334 is about 5201.2819573640. The cubic root of 27053334 is about 300.1974034112.

The spelling of 27053334 in words is "twenty-seven million, fifty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 131 149 154 198 231 262 298 393 447 462 693 786 894 917 1043 1179 1341 1386 1441 1639 1834 2086 2358 2682 2751 2882 3129 3278 4323 4917 5502 6258 8253 8646 9387 9834 10087 11473 12969 14751 16506 18774 19519 20174 22946 25938 29502 30261 34419 39038 58557 60522 68838 90783 103257 117114 136633 175671 181566 206514 214709 273266 351342 409899 429418 644127 819798 1229697 1288254 1502963 1932381 2459394 3005926 3864762 4508889 9017778 13526667 27053334