Search a number
-
+
109069416 = 2334179901
BaseRepresentation
bin1101000000001…
…00010001101000
321121020022010000
412200010101220
5210410210131
614453423000
72463034431
oct640042150
9247208100
10109069416
1156626515
123063aa60
131979a921
14106b2488
159896ce6
hex6804468

109069416 has 80 divisors (see below), whose sum is σ = 323498340. Its totient is φ = 34214400.

The previous prime is 109069393. The next prime is 109069417. The reversal of 109069416 is 614960901.

It can be written as a sum of positive squares in 2 ways, for example, as 89302500 + 19766916 = 9450^2 + 4446^2 .

It is a super-2 number, since 2×1090694162 = 23792275013162112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109069417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6066 + ... + 15966.

Almost surely, 2109069416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109069416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161749170).

109069416 is an abundant number, since it is smaller than the sum of its proper divisors (214428924).

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

109069416 is a wasteful number, since it uses less digits than its factorization.

109069416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9936 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109069416 is about 10443.6304032649. The cubic root of 109069416 is about 477.7870003308.

The spelling of 109069416 in words is "one hundred nine million, sixty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 9901 11016 19802 29703 39604 59406 79208 89109 118812 168317 178218 237624 267327 336634 356436 504951 534654 673268 712872 801981 1009902 1069308 1346536 1514853 1603962 2019804 2138616 3029706 3207924 4039608 4544559 6059412 6415848 9089118 12118824 13633677 18178236 27267354 36356472 54534708 109069416