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13790208 = 2103672
BaseRepresentation
bin110100100110…
…110000000000
3221221121121110
4310212300000
512012241313
61211323320
7225133455
oct64466000
927847543
1013790208
117869873
124750540
132b1aab3
141b8d82c
151325ec3
hexd26c00

13790208 has 66 divisors (see below), whose sum is σ = 37312716. Its totient is φ = 4528128.

The previous prime is 13790207. The next prime is 13790243. The reversal of 13790208 is 80209731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13790207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205791 + ... + 205857.

Almost surely, 213790208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18656358).

13790208 is an abundant number, since it is smaller than the sum of its proper divisors (23522508).

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

13790208 is an frugal number, since it uses more digits than its factorization.

13790208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13790208 is about 3713.5169314277. The cubic root of 13790208 is about 239.8042848861.

Adding to 13790208 its reverse (80209731), we get a palindrome (93999939).

The spelling of 13790208 in words is "thirteen million, seven hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1024 1072 1536 1608 2144 3072 3216 4288 4489 6432 8576 8978 12864 13467 17152 17956 25728 26934 34304 35912 51456 53868 68608 71824 102912 107736 143648 205824 215472 287296 430944 574592 861888 1149184 1723776 2298368 3447552 4596736 6895104 13790208