Search a number
-
+
13002300 = 22325214447
BaseRepresentation
bin110001100110…
…011000111100
3220110120210200
4301212120330
511312033200
61142403500
7215342403
oct61463074
926416720
1013002300
117380903
124430590
13290328c
141a2663a
15121c800
hexc6663c

13002300 has 54 divisors (see below), whose sum is σ = 40757808. Its totient is φ = 3467040.

The previous prime is 13002287. The next prime is 13002307. The reversal of 13002300 is 320031.

It is a happy number.

13002300 is digitally balanced in base 2 and base 4, because in such bases 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 (9).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6324 + ... + 8123.

Almost surely, 213002300 is an apocalyptic number.

13002300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002300 is an abundant number, since it is smaller than the sum of its proper divisors (27755508).

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

13002300 is a wasteful number, since it uses less digits than its factorization.

13002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14467 (or 14457 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13002300 is about 3605.8702139705. The cubic root of 13002300 is about 235.1473348000.

Adding to 13002300 its reverse (320031), we get a palindrome (13322331).

It can be divided in two parts, 1300 and 2300, that added together give a square (3600 = 602).

The spelling of 13002300 in words is "thirteen million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 14447 28894 43341 57788 72235 86682 130023 144470 173364 216705 260046 288940 361175 433410 520092 650115 722350 866820 1083525 1300230 1444700 2167050 2600460 3250575 4334100 6501150 13002300