Search a number
-
+
1107734067 = 321131931157
BaseRepresentation
bin100001000000110…
…1010111000110011
32212012101201110200
41002001222320303
54232034442232
6301530330243
736310404246
oct10201527063
92765351420
101107734067
11519318000
1226ab89983
1314865b05b
14a719325d
15673b277c
hex4206ae33

1107734067 has 96 divisors (see below), whose sum is σ = 1924515840. Its totient is φ = 611582400.

The previous prime is 1107734057. The next prime is 1107734071. The reversal of 1107734067 is 7604377011.

It is not a de Polignac number, because 1107734067 - 26 = 1107734003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1107734057) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7055553 + ... + 7055709.

It is an arithmetic number, because the mean of its divisors is an integer number (20047040).

Almost surely, 21107734067 is an apocalyptic number.

1107734067 is a deficient number, since it is larger than the sum of its proper divisors (816781773).

1107734067 is a wasteful number, since it uses less digits than its factorization.

1107734067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 1107734067 is about 33282.6391231224. The cubic root of 1107734067 is about 1034.6937776428.

The spelling of 1107734067 in words is "one billion, one hundred seven million, seven hundred thirty-four thousand, sixty-seven".

Divisors: 1 3 9 11 19 31 33 57 93 99 121 157 171 209 279 341 363 471 589 627 1023 1089 1331 1413 1727 1767 1881 2299 2983 3069 3751 3993 4867 5181 5301 6479 6897 8949 11253 11979 14601 15543 18997 19437 20691 25289 26847 32813 33759 41261 43803 53537 56991 58311 71269 75867 92473 98439 123783 160611 170973 208967 213807 227601 277419 295317 360943 371349 481833 588907 626901 641421 783959 832257 1017203 1082829 1766721 1880703 2351877 3051609 3248487 3970373 5300163 6477977 7055631 9154827 11189233 11911119 19433931 33567699 35733357 58301793 100703097 123081563 369244689 1107734067