Search a number
-
+
1117829169 = 321721373137
BaseRepresentation
bin100001010100000…
…1011100000110001
32212220101121100100
41002220023200301
54242131013134
6302530543013
736462251112
oct10250134061
92786347310
101117829169
11523a92666
12272437a69
1314a783ca2
14a8660209
1568208999
hex42a0b831

1117829169 has 36 divisors (see below), whose sum is σ = 1728278604. Its totient is φ = 696041472.

The previous prime is 1117829149. The next prime is 1117829177. The reversal of 1117829169 is 9619287111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 479610000 + 638219169 = 21900^2 + 25263^2 .

It is not a de Polignac number, because 1117829169 - 211 = 1117827121 is a prime.

It is a super-2 number, since 2×11178291692 = 2499084102134461122, which contains 22 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 (1117829149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 354769 + ... + 357905.

It is an arithmetic number, because the mean of its divisors is an integer number (48007739).

Almost surely, 21117829169 is an apocalyptic number.

It is an amenable number.

1117829169 is a deficient number, since it is larger than the sum of its proper divisors (610449435).

1117829169 is a wasteful number, since it uses less digits than its factorization.

1117829169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3294 counting only the distinct ones).

The product of its digits is 54432, while the sum is 45.

The square root of 1117829169 is about 33433.9523389024. The cubic root of 1117829169 is about 1037.8274324146.

The spelling of 1117829169 in words is "one billion, one hundred seventeen million, eight hundred twenty-nine thousand, one hundred sixty-nine".

Divisors: 1 3 9 17 51 137 153 289 411 867 1233 2329 2601 3137 6987 9411 20961 28233 39593 53329 118779 159987 356337 429769 479961 906593 1289307 2719779 3867921 7306073 8159337 21918219 65754657 124203241 372609723 1117829169