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13670208 = 2636293
BaseRepresentation
bin110100001001…
…011101000000
3221201112000000
4310021131000
511444421313
61205000000
7224123556
oct64113500
927645000
1013670208
1177976a2
1246b3000
132aa82a6
141b5bbd6
151300673
hexd09740

13670208 has 98 divisors (see below), whose sum is σ = 40810434. Its totient is φ = 4541184.

The previous prime is 13670207. The next prime is 13670219. The reversal of 13670208 is 80207631.

It can be written as a sum of positive squares in only one way, i.e., 13483584 + 186624 = 3672^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13670207) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46510 + ... + 46802.

It is an arithmetic number, because the mean of its divisors is an integer number (416433).

Almost surely, 213670208 is an apocalyptic number.

13670208 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 13670208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20405217).

13670208 is an abundant number, since it is smaller than the sum of its proper divisors (27140226).

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

13670208 is an frugal number, since it uses more digits than its factorization.

13670208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13670208 is about 3697.3244380227. The cubic root of 13670208 is about 239.1066790324.

Adding to 13670208 its reverse (80207631), we get a palindrome (93877839).

The spelling of 13670208 in words is "thirteen million, six hundred seventy thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 293 324 432 486 576 586 648 729 864 879 972 1172 1296 1458 1728 1758 1944 2344 2592 2637 2916 3516 3888 4688 5184 5274 5832 7032 7776 7911 9376 10548 11664 14064 15552 15822 18752 21096 23328 23733 28128 31644 42192 46656 47466 56256 63288 71199 84384 94932 126576 142398 168768 189864 213597 253152 284796 379728 427194 506304 569592 759456 854388 1139184 1518912 1708776 2278368 3417552 4556736 6835104 13670208