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13426512 = 2431159431
BaseRepresentation
bin110011001101…
…111101010000
3221021010201020
4303031331100
511414122022
61155435440
7222060231
oct63157520
927233636
1013426512
1176405a0
1245b5b80
132a213a8
141ad7088
1512a335c
hexccdf50

13426512 has 80 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3990400.

The previous prime is 13426493. The next prime is 13426513. The reversal of 13426512 is 21562431.

It is a super-2 number, since 2×134265122 = 360542448972288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13426513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30937 + ... + 31367.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 213426512 is an apocalyptic number.

13426512 is a gapful number since it is divisible by the number (12) 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 13426512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

13426512 is an abundant number, since it is smaller than the sum of its proper divisors (25142448).

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

13426512 is a wasteful number, since it uses less digits than its factorization.

13426512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 13426512 is about 3664.2205173816. The cubic root of 13426512 is about 237.6773161526.

Adding to 13426512 its reverse (21562431), we get a palindrome (34988943).

The spelling of 13426512 in words is "thirteen million, four hundred twenty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 431 472 528 649 708 862 944 1293 1298 1416 1724 1947 2586 2596 2832 3448 3894 4741 5172 5192 6896 7788 9482 10344 10384 14223 15576 18964 20688 25429 28446 31152 37928 50858 56892 75856 76287 101716 113784 152574 203432 227568 279719 305148 406864 559438 610296 839157 1118876 1220592 1678314 2237752 3356628 4475504 6713256 13426512