Search a number
-
+
109418778 = 232731109257
BaseRepresentation
bin1101000010110…
…01100100011010
321121220001100100
412201121210122
5211002400103
614505120230
72466021120
oct641314432
9247801310
10109418778
1156844a47
1230789076
1319890951
1410763910
1599155a3
hex685991a

109418778 has 96 divisors (see below), whose sum is σ = 283345920. Its totient is φ = 29859840.

The previous prime is 109418761. The next prime is 109418779. The reversal of 109418778 is 877814901.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109418779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425626 + ... + 425882.

It is an arithmetic number, because the mean of its divisors is an integer number (2951520).

Almost surely, 2109418778 is an apocalyptic number.

109418778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109418778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141672960).

109418778 is an abundant number, since it is smaller than the sum of its proper divisors (173927142).

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

109418778 is a wasteful number, since it uses less digits than its factorization.

109418778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 109418778 is about 10460.3431110074. The cubic root of 109418778 is about 478.2965923641.

The spelling of 109418778 in words is "one hundred nine million, four hundred eighteen thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 109 126 186 217 218 257 279 327 434 514 558 651 654 763 771 981 1302 1526 1542 1799 1953 1962 2289 2313 3379 3598 3906 4578 4626 5397 6758 6867 7967 10137 10794 13734 15934 16191 20274 23653 23901 28013 30411 32382 47306 47802 55769 56026 60822 70959 71703 84039 111538 141918 143406 167307 168078 196091 212877 252117 334614 392182 425754 501921 504234 588273 868403 1003842 1176546 1736806 1764819 2605209 3529638 5210418 6078821 7815627 12157642 15631254 18236463 36472926 54709389 109418778