Search a number
-
+
13109760 = 29325569
BaseRepresentation
bin110010000000…
…101000000000
3220200001012200
4302000220000
511324003020
61144553200
7216300606
oct62005000
926601180
1013109760
117444614
124482800
132940171
141a53876
15123e590
hexc80a00

13109760 has 120 divisors (see below), whose sum is σ = 45482580. Its totient is φ = 3489792.

The previous prime is 13109749. The next prime is 13109779. The reversal of 13109760 is 6790131.

13109760 is a nontrivial binomial coefficient, being equal to C(5121, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 831744 = 3504^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22756 + ... + 23324.

Almost surely, 213109760 is an apocalyptic number.

13109760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13109760 is the 5120-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22741290).

13109760 is an abundant number, since it is smaller than the sum of its proper divisors (32372820).

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

13109760 is an equidigital number, since it uses as much as digits as its factorization.

13109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 13109760 is about 3620.7402558041. The cubic root of 13109760 is about 235.7933650450.

Adding to 13109760 its reverse (6790131), we get a palindrome (19899891).

The spelling of 13109760 in words is "thirteen million, one hundred nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 569 576 640 720 768 960 1138 1152 1280 1440 1536 1707 1920 2276 2304 2560 2845 2880 3414 3840 4552 4608 5121 5690 5760 6828 7680 8535 9104 10242 11380 11520 13656 17070 18208 20484 22760 23040 25605 27312 34140 36416 40968 45520 51210 54624 68280 72832 81936 91040 102420 109248 136560 145664 163872 182080 204840 218496 273120 291328 327744 364160 409680 436992 546240 655488 728320 819360 873984 1092480 1310976 1456640 1638720 2184960 2621952 3277440 4369920 6554880 13109760