Search a number
-
+
106969896 = 23341143349
BaseRepresentation
bin1100110000000…
…11101100101000
321110021122010000
412120003230220
5204341014041
614340423000
72436141405
oct630035450
9243248100
10106969896
1155422080
122b9a7a60
13192140c7
14102c72ac
1595cebb6
hex6603b28

106969896 has 160 divisors (see below), whose sum is σ = 335412000. Its totient is φ = 31570560.

The previous prime is 106969873. The next prime is 106969897. The reversal of 106969896 is 698969601.

It is a super-2 number, since 2×1069698962 = 22885117300501632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106969897) 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 39 ways as a sum of consecutive naturals, for example, 306330 + ... + 306678.

It is an arithmetic number, because the mean of its divisors is an integer number (2096325).

Almost surely, 2106969896 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 106969896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167706000).

106969896 is an abundant number, since it is smaller than the sum of its proper divisors (228442104).

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

106969896 is a wasteful number, since it uses less digits than its factorization.

106969896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 106969896 is about 10342.6251986621. The cubic root of 106969896 is about 474.7014130851.

The spelling of 106969896 in words is "one hundred six million, nine hundred sixty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 81 86 88 99 108 129 132 162 172 198 216 258 264 297 324 344 349 387 396 473 516 594 648 698 774 792 891 946 1032 1047 1161 1188 1396 1419 1548 1782 1892 2094 2322 2376 2792 2838 3096 3141 3483 3564 3784 3839 4188 4257 4644 5676 6282 6966 7128 7678 8376 8514 9288 9423 11352 11517 12564 12771 13932 15007 15356 17028 18846 23034 25128 25542 27864 28269 30014 30712 34056 34551 37692 38313 45021 46068 51084 56538 60028 69102 75384 76626 90042 92136 102168 103653 113076 120056 135063 138204 153252 165077 180084 207306 226152 270126 276408 306504 310959 330154 360168 405189 414612 495231 540252 621918 660308 810378 829224 990462 1080504 1215567 1243836 1320616 1485693 1620756 1980924 2431134 2487672 2971386 3241512 3961848 4457079 4862268 5942772 8914158 9724536 11885544 13371237 17828316 26742474 35656632 53484948 106969896