Search a number
-
+
13866080 = 255791097
BaseRepresentation
bin110100111001…
…010001100000
3222002110200112
4310321101200
512022203310
61213110452
7225600614
oct64712140
928073615
1013866080
117910878
124788428
132b464a7
141bad344
15133d705
hexd39460

13866080 has 48 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 5471232.

The previous prime is 13866043. The next prime is 13866091. The reversal of 13866080 is 8066831.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12092 + ... + 13188.

It is an arithmetic number, because the mean of its divisors is an integer number (691740).

Almost surely, 213866080 is an apocalyptic number.

13866080 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 13866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

13866080 is an abundant number, since it is smaller than the sum of its proper divisors (19337440).

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

13866080 is a wasteful number, since it uses less digits than its factorization.

13866080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 13866080 is about 3723.7185715357. The cubic root of 13866080 is about 240.2432718469.

The spelling of 13866080 in words is "thirteen million, eight hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1097 1264 1580 2194 2528 3160 4388 5485 6320 8776 10970 12640 17552 21940 35104 43880 86663 87760 173326 175520 346652 433315 693304 866630 1386608 1733260 2773216 3466520 6933040 13866080