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13292118 = 2327314183
BaseRepresentation
bin110010101101…
…001001010110
3221000022100200
4302231021112
511400321433
61152521330
7220660350
oct62551126
927008320
1013292118
117559624
124550246
1329a5178
141aa00d0
151278613
hexcad256

13292118 has 96 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 3542400.

The previous prime is 13292107. The next prime is 13292119. The reversal of 13292118 is 81129231.

13292118 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13292091 and 13292100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13292119) 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, 160105 + ... + 160187.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 213292118 is an apocalyptic number.

13292118 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 13292118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

13292118 is an abundant number, since it is smaller than the sum of its proper divisors (21931434).

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

13292118 is a wasteful number, since it uses less digits than its factorization.

13292118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 167 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 13292118 is about 3645.8357066659. The cubic root of 13292118 is about 236.8816372063.

It can be divided in two parts, 132921 and 18, that multiplied together give a triangular number (2392578 = T2187).

The spelling of 13292118 in words is "thirteen million, two hundred ninety-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 41 42 62 63 82 83 93 123 126 166 186 217 246 249 279 287 369 434 498 558 574 581 651 738 747 861 1162 1271 1302 1494 1722 1743 1953 2542 2573 2583 3403 3486 3813 3906 5146 5166 5229 6806 7626 7719 8897 10209 10458 11439 15438 17794 18011 20418 22878 23157 23821 26691 30627 36022 46314 47642 53382 54033 61254 71463 80073 105493 108066 142926 160146 162099 210986 214389 316479 324198 428778 632958 738451 949437 1476902 1898874 2215353 4430706 6646059 13292118