Search a number
-
+
13112624 = 24747253
BaseRepresentation
bin110010000001…
…010100110000
3220200012010202
4302001110300
511324100444
61145014332
7216312140
oct62012460
926605122
1013112624
117446788
1244843a8
132941565
141a54920
15124034e
hexc81530

13112624 has 60 divisors (see below), whose sum is σ = 30225744. Its totient is φ = 5396352.

The previous prime is 13112609. The next prime is 13112639. The reversal of 13112624 is 42621131.

13112624 = T224 + T225 + ... + T447.

It is an interprime number because it is at equal distance from previous prime (13112609) and next prime (13112639).

It is a junction number, because it is equal to n+sod(n) for n = 13112596 and 13112605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247382 + ... + 247434.

Almost surely, 213112624 is an apocalyptic number.

13112624 is a gapful number since it is divisible by the number (14) 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 13112624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112872).

13112624 is an abundant number, since it is smaller than the sum of its proper divisors (17113120).

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

13112624 is an equidigital number, since it uses as much as digits as its factorization.

13112624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 109 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 13112624 is about 3621.1357334405. The cubic root of 13112624 is about 235.8105345184.

Adding to 13112624 its reverse (42621131), we get a palindrome (55733755).

The spelling of 13112624 in words is "thirteen million, one hundred twelve thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 47 53 56 94 106 112 188 212 329 371 376 424 658 742 752 848 1316 1484 2209 2491 2632 2968 4418 4982 5264 5936 8836 9964 15463 17437 17672 19928 30926 34874 35344 39856 61852 69748 117077 123704 139496 234154 247408 278992 468308 819539 936616 1639078 1873232 3278156 6556312 13112624