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13442257 = 172193241
BaseRepresentation
bin110011010001…
…110011010001
3221021221022101
4303101303101
511420123012
61200040401
7222154153
oct63216321
927257271
1013442257
117651404
124603101
132a285ca
141adcad3
1512a7d57
hexcd1cd1

13442257 has 12 divisors (see below), whose sum is σ = 14413036. Its totient is φ = 12533760.

The previous prime is 13442249. The next prime is 13442263. The reversal of 13442257 is 75224431.

13442257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1115136 + 12327121 = 1056^2 + 3511^2 .

It is not a de Polignac number, because 13442257 - 23 = 13442249 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13442237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55657 + ... + 55897.

Almost surely, 213442257 is an apocalyptic number.

13442257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13442257 is a deficient number, since it is larger than the sum of its proper divisors (970779).

13442257 is a wasteful number, since it uses less digits than its factorization.

13442257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 451 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 13442257 is about 3666.3683666538. The cubic root of 13442257 is about 237.7701863258.

Adding to 13442257 its reverse (75224431), we get a palindrome (88666688).

It can be divided in two parts, 13 and 442257, that added together give a triangular number (442270 = T940).

The spelling of 13442257 in words is "thirteen million, four hundred forty-two thousand, two hundred fifty-seven".

Divisors: 1 17 193 241 289 3281 4097 46513 55777 69649 790721 13442257