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13100340 = 22351123863
BaseRepresentation
bin110001111110…
…010100110100
3220122120021210
4301332110310
511323202330
61144441420
7216231261
oct61762464
926576253
1013100340
117438530
124479270
132938aa6
141a50268
15123b8b0
hexc7e534

13100340 has 96 divisors (see below), whose sum is σ = 41803776. Its totient is φ = 3034240.

The previous prime is 13100327. The next prime is 13100341. The reversal of 13100340 is 4300131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100341) 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 31 ways as a sum of consecutive naturals, for example, 14749 + ... + 15611.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 213100340 is an apocalyptic number.

13100340 is a gapful number since it is divisible by the number (10) 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 13100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888).

13100340 is an abundant number, since it is smaller than the sum of its proper divisors (28703436).

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

13100340 is a wasteful number, since it uses less digits than its factorization.

13100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13100340 is about 3619.4391830780. The cubic root of 13100340 is about 235.7368751800.

Adding to 13100340 its reverse (4300131), we get a palindrome (17400471).

The spelling of 13100340 in words is "thirteen million, one hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 863 1012 1265 1380 1518 1726 2530 2589 3036 3452 3795 4315 5060 5178 7590 8630 9493 10356 12945 15180 17260 18986 19849 25890 28479 37972 39698 47465 51780 56958 59547 79396 94930 99245 113916 119094 142395 189860 198490 218339 238188 284790 297735 396980 436678 569580 595470 655017 873356 1091695 1190940 1310034 2183390 2620068 3275085 4366780 6550170 13100340