Search a number
-
+
1053284133 = 311196127539
BaseRepresentation
bin111110110001111…
…101011100100101
32201101221101012110
4332301331130211
54124120043013
6252303311233
735046524136
oct7661753445
92641841173
101053284133
114a0607a60
122548ab519
1313a2a5365
149dc5bc8d
15627092c3
hex3ec7d725

1053284133 has 32 divisors (see below), whose sum is σ = 1639180800. Its totient is φ = 594820800.

The previous prime is 1053284083. The next prime is 1053284173. The reversal of 1053284133 is 3314823501.

It is not a de Polignac number, because 1053284133 - 220 = 1052235557 is a prime.

It is a super-2 number, since 2×10532841332 = 2218814929659123378, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1053284133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053284173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24478 + ... + 52016.

It is an arithmetic number, because the mean of its divisors is an integer number (51224400).

Almost surely, 21053284133 is an apocalyptic number.

It is an amenable number.

1053284133 is a deficient number, since it is larger than the sum of its proper divisors (585896667).

1053284133 is a wasteful number, since it uses less digits than its factorization.

1053284133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27633.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1053284133 is about 32454.3392014073. The cubic root of 1053284133 is about 1017.4549303808.

The spelling of 1053284133 in words is "one billion, fifty-three million, two hundred eighty-four thousand, one hundred thirty-three".

Divisors: 1 3 11 19 33 57 61 183 209 627 671 1159 2013 3477 12749 27539 38247 82617 302929 523241 908787 1569723 1679879 5039637 5755651 17266953 18478669 31917701 55436007 95753103 351094711 1053284133