Search a number
-
+
13451373 = 3313192017
BaseRepresentation
bin110011010100…
…000001101101
3221022101211000
4303110001231
511420420443
61200150513
7222222555
oct63240155
927271730
1013451373
117658241
124608439
132a2c7c0
141b02165
1512aa8d3
hexcd406d

13451373 has 32 divisors (see below), whose sum is σ = 22601600. Its totient is φ = 7838208.

The previous prime is 13451359. The next prime is 13451381. The reversal of 13451373 is 37315431.

13451373 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13451373 - 26 = 13451309 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13451173) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5661 + ... + 7677.

It is an arithmetic number, because the mean of its divisors is an integer number (706300).

Almost surely, 213451373 is an apocalyptic number.

13451373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13451373 is a deficient number, since it is larger than the sum of its proper divisors (9150227).

13451373 is a wasteful number, since it uses less digits than its factorization.

13451373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2052 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 13451373 is about 3667.6113480029. The cubic root of 13451373 is about 237.8239229175.

It can be divided in two parts, 13451 and 373, that added together give a cube (13824 = 243).

The spelling of 13451373 in words is "thirteen million, four hundred fifty-one thousand, three hundred seventy-three".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 2017 2223 6051 6669 18153 26221 38323 54459 78663 114969 235989 344907 498199 707967 1034721 1494597 4483791 13451373