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13376790 = 23257171249
BaseRepresentation
bin110011000001…
…110100010110
3221011121111200
4303001310112
511411024130
61154413330
7221462250
oct63016426
927147450
1013376790
1176071a9
124591246
132a0487b
141ac2cd0
151293760
hexcc1d16

13376790 has 96 divisors (see below), whose sum is σ = 42120000. Its totient is φ = 2875392.

The previous prime is 13376761. The next prime is 13376791. The reversal of 13376790 is 9767331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13376791) by changing a digit.

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, 10086 + ... + 11334.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 213376790 is an apocalyptic number.

13376790 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 13376790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060000).

13376790 is an abundant number, since it is smaller than the sum of its proper divisors (28743210).

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

13376790 is a wasteful number, since it uses less digits than its factorization.

13376790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 13376790 is about 3657.4294251564. The cubic root of 13376790 is about 237.3835588025.

The spelling of 13376790 in words is "thirteen million, three hundred seventy-six thousand, seven hundred ninety".

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 1249 1530 1785 2142 2498 3570 3747 5355 6245 7494 8743 10710 11241 12490 17486 18735 21233 22482 26229 37470 42466 43715 52458 56205 63699 78687 87430 106165 112410 127398 131145 148631 157374 191097 212330 262290 297262 318495 382194 393435 445893 636990 743155 786870 891786 955485 1337679 1486310 1910970 2229465 2675358 4458930 6688395 13376790