Search a number
-
+
13442464 = 25728573
BaseRepresentation
bin110011010001…
…110110100000
3221021221121001
4303101312200
511420124324
61200041344
7222154600
oct63216640
927257531
1013442464
117651582
124603254
132a28729
141adcc00
1512a7e44
hexcd1da0

13442464 has 36 divisors (see below), whose sum is σ = 30789234. Its totient is φ = 5760384.

The previous prime is 13442453. The next prime is 13442467. The reversal of 13442464 is 46424431.

It can be written as a sum of positive squares in only one way, i.e., 12250000 + 1192464 = 3500^2 + 1092^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

13442464 is a modest number, since divided by 2464 gives 1344 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13442467) 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 5 ways as a sum of consecutive naturals, for example, 2719 + ... + 5854.

Almost surely, 213442464 is an apocalyptic number.

13442464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13442464 is an abundant number, since it is smaller than the sum of its proper divisors (17346770).

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

13442464 is an equidigital number, since it uses as much as digits as its factorization.

13442464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8597 (or 8582 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 13442464 is about 3666.3965961145. The cubic root of 13442464 is about 237.7714068097.

Adding to 13442464 its reverse (46424431), we get a palindrome (59866895).

The spelling of 13442464 in words is "thirteen million, four hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 8573 17146 34292 60011 68584 120022 137168 240044 274336 420077 480088 840154 960176 1680308 1920352 3360616 6721232 13442464