Search a number
-
+
13740930 = 23257171283
BaseRepresentation
bin110100011010…
…101110000010
3221212010000100
4310122232002
512004202210
61210303230
7224540010
oct64325602
927763010
1013740930
117835845
124727b16
132b01538
141b798b0
1513165c0
hexd1ab82

13740930 has 96 divisors (see below), whose sum is σ = 43265664. Its totient is φ = 2953728.

The previous prime is 13740917. The next prime is 13740941. The reversal of 13740930 is 3904731.

It is a junction number, because it is equal to n+sod(n) for n = 13740894 and 13740903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10069 + ... + 11351.

It is an arithmetic number, because the mean of its divisors is an integer number (450684).

Almost surely, 213740930 is an apocalyptic number.

13740930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13740930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21632832).

13740930 is an abundant number, since it is smaller than the sum of its proper divisors (29524734).

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

13740930 is a wasteful number, since it uses less digits than its factorization.

13740930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13740930 is about 3706.8760432472. The cubic root of 13740930 is about 239.5183046869.

The spelling of 13740930 in words is "thirteen million, seven hundred forty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1283 1530 1785 2142 2566 3570 3849 5355 6415 7698 8981 10710 11547 12830 17962 19245 21811 23094 26943 38490 43622 44905 53886 57735 65433 80829 89810 109055 115470 130866 134715 152677 161658 196299 218110 269430 305354 327165 392598 404145 458031 654330 763385 808290 916062 981495 1374093 1526770 1962990 2290155 2748186 4580310 6870465 13740930