Search a number
-
+
13836080 = 245971783
BaseRepresentation
bin110100110001…
…111100110000
3222000221112102
4310301330300
512020223310
61212315532
7225414266
oct64617460
928027472
1013836080
1178a0285
124772ba8
132b3593b
141ba2436
1513348a5
hexd31f30

13836080 has 40 divisors (see below), whose sum is σ = 32518752. Its totient is φ = 5474304.

The previous prime is 13836071. The next prime is 13836083. The reversal of 13836080 is 8063831.

13836080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13836083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6869 + ... + 8651.

Almost surely, 213836080 is an apocalyptic number.

13836080 is a gapful number since it is divisible by the number (10) 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 13836080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259376).

13836080 is an abundant number, since it is smaller than the sum of its proper divisors (18682672).

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

13836080 is a wasteful number, since it uses less digits than its factorization.

13836080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 13836080 is about 3719.6881589725. The cubic root of 13836080 is about 240.0698870546.

The spelling of 13836080 in words is "thirteen million, eight hundred thirty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1783 1940 3566 3880 7132 7760 8915 14264 17830 28528 35660 71320 142640 172951 345902 691804 864755 1383608 1729510 2767216 3459020 6918040 13836080