Search a number
-
+
13376988 = 2234194153
BaseRepresentation
bin110011000001…
…110111011100
3221011121210000
4303001313130
511411030423
61154414300
7221462652
oct63016734
927147700
1013376988
117607369
124591390
132a049a1
141ac2dd2
151293843
hexcc1ddc

13376988 has 120 divisors (see below), whose sum is σ = 38419920. Its totient is φ = 4043520.

The previous prime is 13376983. The next prime is 13376989. The reversal of 13376988 is 88967331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13376981) 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 39 ways as a sum of consecutive naturals, for example, 252370 + ... + 252422.

It is an arithmetic number, because the mean of its divisors is an integer number (320166).

Almost surely, 213376988 is an apocalyptic number.

13376988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13376988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209960).

13376988 is an abundant number, since it is smaller than the sum of its proper divisors (25042932).

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

13376988 is a wasteful number, since it uses less digits than its factorization.

13376988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 13376988 is about 3657.4564932477. The cubic root of 13376988 is about 237.3847300280.

The spelling of 13376988 in words is "thirteen million, three hundred seventy-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 41 53 54 57 76 81 82 106 108 114 123 159 162 164 171 212 228 246 318 324 342 369 477 492 513 636 684 738 779 954 1007 1026 1107 1431 1476 1539 1558 1908 2014 2052 2173 2214 2337 2862 3021 3078 3116 3321 4028 4293 4346 4428 4674 5724 6042 6156 6519 6642 7011 8586 8692 9063 9348 12084 13038 13284 14022 17172 18126 19557 21033 26076 27189 28044 36252 39114 41287 42066 54378 58671 63099 78228 81567 82574 84132 108756 117342 123861 126198 163134 165148 176013 234684 247722 252396 326268 352026 371583 495444 704052 743166 1114749 1486332 2229498 3344247 4458996 6688494 13376988