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13011426 = 23217101421
BaseRepresentation
bin110001101000…
…100111100010
3220111001022200
4301220213202
511312331201
61142514030
7215411121
oct61504742
926431280
1013011426
11738774a
124435916
13290748c
141a29ab8
151220386
hexc689e2

13011426 has 48 divisors (see below), whose sum is σ = 30216888. Its totient is φ = 4032000.

The previous prime is 13011421. The next prime is 13011431. The reversal of 13011426 is 62411031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13011421) and next prime (13011431).

It can be written as a sum of positive squares in 4 ways, for example, as 11799225 + 1212201 = 3435^2 + 1101^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13011399 and 13011408.

It is not an unprimeable number, because it can be changed into a prime (13011421) 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 23 ways as a sum of consecutive naturals, for example, 30696 + ... + 31116.

Almost surely, 213011426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15108444).

13011426 is an abundant number, since it is smaller than the sum of its proper divisors (17205462).

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

13011426 is a wasteful number, since it uses less digits than its factorization.

13011426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13011426 is about 3607.1354285638. The cubic root of 13011426 is about 235.2023366768.

Adding to 13011426 its reverse (62411031), we get a palindrome (75422457).

The spelling of 13011426 in words is "thirteen million, eleven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 421 606 842 909 1263 1717 1818 2526 3434 3789 5151 7157 7578 10302 14314 15453 21471 30906 42521 42942 64413 85042 127563 128826 255126 382689 722857 765378 1445714 2168571 4337142 6505713 13011426