Search a number
-
+
107315676 = 223213231569
BaseRepresentation
bin1100110010110…
…00000111011100
321110221012102200
412121120013130
5204433100201
614352051500
72442111456
oct631300734
9243835380
10107315676
1155638946
122bb33b90
1319305600
14103772d6
15964c386
hex66581dc

107315676 has 108 divisors (see below), whose sum is σ = 303750720. Its totient is φ = 31898880.

The previous prime is 107315671. The next prime is 107315683. The reversal of 107315676 is 676513701.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107315676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107315671) 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 35 ways as a sum of consecutive naturals, for example, 188320 + ... + 188888.

Almost surely, 2107315676 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 107315676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151875360).

107315676 is an abundant number, since it is smaller than the sum of its proper divisors (196435044).

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

107315676 is a wasteful number, since it uses less digits than its factorization.

107315676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 107315676 is about 10359.3279704815. The cubic root of 107315676 is about 475.2123534353.

The spelling of 107315676 in words is "one hundred seven million, three hundred fifteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 169 186 234 279 338 372 403 468 507 558 569 676 806 1014 1116 1138 1209 1521 1612 1707 2028 2276 2418 3042 3414 3627 4836 5121 5239 6084 6828 7254 7397 10242 10478 14508 14794 15717 17639 20484 20956 22191 29588 31434 35278 44382 47151 52917 62868 66573 70556 88764 94302 96161 105834 133146 158751 188604 192322 211668 229307 266292 288483 317502 384644 458614 576966 635004 687921 865449 917228 1153932 1375842 1730898 2063763 2751684 2980991 3461796 4127526 5961982 8255052 8942973 11923964 17885946 26828919 35771892 53657838 107315676