Search a number
-
+
13980276 = 223519757
BaseRepresentation
bin110101010101…
…001001110100
3222022021100000
4311111021310
512034332101
61215351300
7226554552
oct65251164
928267300
1013980276
117989652
124822530
132b8646b
141bdcbd2
151362486
hexd55274

13980276 has 72 divisors (see below), whose sum is σ = 38627680. Its totient is φ = 4408992.

The previous prime is 13980269. The next prime is 13980277. The reversal of 13980276 is 67208931.

13980276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13980276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13980277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18090 + ... + 18846.

Almost surely, 213980276 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 13980276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313840).

13980276 is an abundant number, since it is smaller than the sum of its proper divisors (24647404).

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

13980276 is a wasteful number, since it uses less digits than its factorization.

13980276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13980276 is about 3739.0207274098. The cubic root of 13980276 is about 240.9009883506.

The spelling of 13980276 in words is "thirteen million, nine hundred eighty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 757 972 1026 1514 1539 2052 2271 3028 3078 4542 4617 6156 6813 9084 9234 13626 14383 18468 20439 27252 28766 40878 43149 57532 61317 81756 86298 122634 129447 172596 183951 245268 258894 367902 388341 517788 735804 776682 1165023 1553364 2330046 3495069 4660092 6990138 13980276