[go: up one dir, main page]

Search a number
-
+
1135166214 = 237132338923
BaseRepresentation
bin100001110101001…
…0100001100000110
32221010000102022010
41003222110030012
54311100304324
6304350315050
740062516330
oct10352241406
92833012263
101135166214
115328541a6
122781b8a86
131512442b0
14aaa94450
15699d0829
hex43a94306

1135166214 has 64 divisors (see below), whose sum is σ = 2806562304. Its totient is φ = 298066176.

The previous prime is 1135166213. The next prime is 1135166233. The reversal of 1135166214 is 4126615311.

It is a happy number.

It is a super-3 number, since 3×11351662143 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135166213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122757 + ... + 131679.

It is an arithmetic number, because the mean of its divisors is an integer number (43852536).

Almost surely, 21135166214 is an apocalyptic number.

1135166214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135166214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403281152).

1135166214 is an abundant number, since it is smaller than the sum of its proper divisors (1671396090).

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

1135166214 is a wasteful number, since it uses less digits than its factorization.

1135166214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181.

The product of its digits is 4320, while the sum is 30.

The square root of 1135166214 is about 33692.2277981139. The cubic root of 1135166214 is about 1043.1653481468.

The spelling of 1135166214 in words is "one billion, one hundred thirty-five million, one hundred sixty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 233 273 466 546 699 1398 1631 3029 3262 4893 6058 8923 9087 9786 17846 18174 21203 26769 42406 53538 62461 63609 115999 124922 127218 187383 231998 347997 374766 695994 811993 1623986 2079059 2435979 4158118 4871958 6237177 12474354 14553413 27027767 29106826 43660239 54055534 81083301 87320478 162166602 189194369 378388738 567583107 1135166214