Search a number
-
+
13640208 = 2432941239
BaseRepresentation
bin110100000010…
…001000010000
3221122222211220
4310002020100
511442441313
61204205040
7223640241
oct64021020
927588756
1013640208
1177770aa
124699780
132a9773a
141b50cc8
1512e6823
hexd02210

13640208 has 80 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4264960.

The previous prime is 13640201. The next prime is 13640213. The reversal of 13640208 is 80204631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13640201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56953 + ... + 57191.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 213640208 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 13640208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13640208 is an abundant number, since it is smaller than the sum of its proper divisors (23857392).

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

13640208 is a wasteful number, since it uses less digits than its factorization.

13640208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13640208 is about 3693.2652219953. The cubic root of 13640208 is about 238.9316401424.

Adding to 13640208 its reverse (80204631), we get a palindrome (93844839).

The spelling of 13640208 in words is "thirteen million, six hundred forty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 87 116 123 164 174 232 239 246 328 348 464 478 492 656 696 717 956 984 1189 1392 1434 1912 1968 2378 2868 3567 3824 4756 5736 6931 7134 9512 9799 11472 13862 14268 19024 19598 20793 27724 28536 29397 39196 41586 55448 57072 58794 78392 83172 110896 117588 156784 166344 235176 284171 332688 470352 568342 852513 1136684 1705026 2273368 3410052 4546736 6820104 13640208