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13553034 = 2311297397
BaseRepresentation
bin110011101100…
…110110001010
3221111120021020
4303230312022
511432144114
61202253310
7223125135
oct63546612
927446236
1013553034
117717660
124657236
132a66b61
141b2b21c
1512caaa9
hexcecd8a

13553034 has 64 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 3870720.

The previous prime is 13553021. The next prime is 13553047. The reversal of 13553034 is 43035531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13553021) and next prime (13553047).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13552995 and 13553013.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 139674 + ... + 139770.

It is an arithmetic number, because the mean of its divisors is an integer number (489510).

Almost surely, 213553034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13553034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320).

13553034 is an abundant number, since it is smaller than the sum of its proper divisors (17775606).

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

13553034 is a wasteful number, since it uses less digits than its factorization.

13553034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 13553034 is about 3681.4445534328. Note that the first 3 decimals coincide. The cubic root of 13553034 is about 238.4215512288.

Adding to 13553034 its reverse (43035531), we get a palindrome (56588565).

The spelling of 13553034 in words is "thirteen million, five hundred fifty-three thousand, thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 73 87 97 146 174 194 219 291 319 438 582 638 803 957 1067 1606 1914 2117 2134 2409 2813 3201 4234 4818 5626 6351 6402 7081 8439 12702 14162 16878 21243 23287 30943 42486 46574 61886 69861 77891 92829 139722 155782 185658 205349 233673 410698 467346 616047 1232094 2258839 4517678 6776517 13553034