Search a number
-
+
13453000 = 2353111223
BaseRepresentation
bin110011010100…
…011011001000
3221022111001021
4303110123020
511420444000
61200202224
7222230401
oct63243310
927274037
1013453000
117659490
124609374
132a30472
141b029a8
1512ab11a
hexcd46c8

13453000 has 64 divisors (see below), whose sum is σ = 34369920. Its totient is φ = 4888000.

The previous prime is 13452949. The next prime is 13453021. The reversal of 13453000 is 35431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10389 + ... + 11611.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 213453000 is an apocalyptic number.

13453000 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 13453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960).

13453000 is an abundant number, since it is smaller than the sum of its proper divisors (20916920).

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

13453000 is a wasteful number, since it uses less digits than its factorization.

13453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13453000 is about 3667.8331477863. The cubic root of 13453000 is about 237.8335111314.

Adding to 13453000 its reverse (35431), we get a palindrome (13488431).

Subtracting from 13453000 its reverse (35431), we obtain a square (13417569 = 36632).

The spelling of 13453000 in words is "thirteen million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1223 1375 2200 2446 2750 4892 5500 6115 9784 11000 12230 13453 24460 26906 30575 48920 53812 61150 67265 107624 122300 134530 152875 244600 269060 305750 336325 538120 611500 672650 1223000 1345300 1681625 2690600 3363250 6726500 13453000