Search a number
-
+
13067700 = 22352431013
BaseRepresentation
bin110001110110…
…010110110100
3220120220111220
4301312112310
511321131300
61144030340
7216034152
oct61662664
926526456
1013067700
117415a58
1244623b0
132926c89
141a423d2
151231da0
hexc765b4

13067700 has 72 divisors (see below), whose sum is σ = 38726688. Its totient is φ = 3400320.

The previous prime is 13067693. The next prime is 13067701. The reversal of 13067700 is 776031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13067701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12394 + ... + 13406.

Almost surely, 213067700 is an apocalyptic number.

13067700 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 13067700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19363344).

13067700 is an abundant number, since it is smaller than the sum of its proper divisors (25658988).

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

13067700 is a wasteful number, since it uses less digits than its factorization.

13067700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 13067700 is about 3614.9273851628. The cubic root of 13067700 is about 235.5409298634.

The spelling of 13067700 in words is "thirteen million, sixty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1013 1075 1290 2026 2150 2580 3039 3225 4052 4300 5065 6078 6450 10130 12156 12900 15195 20260 25325 30390 43559 50650 60780 75975 87118 101300 130677 151950 174236 217795 261354 303900 435590 522708 653385 871180 1088975 1306770 2177950 2613540 3266925 4355900 6533850 13067700