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1134165132 = 2233173119927
BaseRepresentation
bin100001110011001…
…1111110010001100
32221001010120002000
41003212133302030
54310321241012
6304313032300
740051146612
oct10346376214
92831116060
101134165132
11532230061
122779b5690
13150c83739
14aa8b36b2
1569883ddc
hex4399fc8c

1134165132 has 96 divisors (see below), whose sum is σ = 3213987840. Its totient is φ = 344321280.

The previous prime is 1134165059. The next prime is 1134165139. The reversal of 1134165132 is 2315614311.

It is a happy number.

1134165132 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 651 + 3 + 2 = 666.

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 = 1134165096 and 1134165105.

It is not an unprimeable number, because it can be changed into a prime (1134165139) 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, 46953 + ... + 66879.

It is an arithmetic number, because the mean of its divisors is an integer number (33479040).

Almost surely, 21134165132 is an apocalyptic number.

1134165132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134165132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606993920).

1134165132 is an abundant number, since it is smaller than the sum of its proper divisors (2079822708).

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

1134165132 is a wasteful number, since it uses less digits than its factorization.

1134165132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19988 (or 19980 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1134165132 is about 33677.3682463461. The cubic root of 1134165132 is about 1042.8586085781.

Adding to 1134165132 its reverse (2315614311), we get a palindrome (3449779443).

The spelling of 1134165132 in words is "one billion, one hundred thirty-four million, one hundred sixty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 153 186 204 279 306 372 459 527 558 612 837 918 1054 1116 1581 1674 1836 2108 3162 3348 4743 6324 9486 14229 18972 19927 28458 39854 56916 59781 79708 119562 179343 239124 338759 358686 538029 617737 677518 717372 1016277 1076058 1235474 1355036 1853211 2032554 2152116 2470948 3048831 3706422 4065108 5559633 6097662 7412844 9146493 10501529 11119266 12195324 16678899 18292986 21003058 22238532 31504587 33357798 36585972 42006116 63009174 66715596 94513761 126018348 189027522 283541283 378055044 567082566 1134165132