Search a number
-
+
13110420 = 2235353619
BaseRepresentation
bin110010000000…
…110010010100
3220200002010010
4302000302110
511324013140
61145000220
7216302541
oct62006224
926602103
1013110420
117445064
124483070
13294055b
141a53bc8
15123e880
hexc80c94

13110420 has 48 divisors (see below), whose sum is σ = 36872640. Its totient is φ = 3480576.

The previous prime is 13110413. The next prime is 13110439. The reversal of 13110420 is 2401131.

It is a happy number.

It is a super-2 number, since 2×131104202 = 343766225152800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13110396 and 13110405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20871 + ... + 21489.

It is an arithmetic number, because the mean of its divisors is an integer number (768180).

Almost surely, 213110420 is an apocalyptic number.

13110420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110420 is an abundant number, since it is smaller than the sum of its proper divisors (23762220).

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

13110420 is a wasteful number, since it uses less digits than its factorization.

13110420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13110420 is about 3620.8313962404. The cubic root of 13110420 is about 235.7973219191.

Adding to 13110420 its reverse (2401131), we get a palindrome (15511551).

It can be divided in two parts, 13110 and 420, that added together give a triangular number (13530 = T164).

The spelling of 13110420 in words is "thirteen million, one hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 353 619 706 1059 1238 1412 1765 1857 2118 2476 3095 3530 3714 4236 5295 6190 7060 7428 9285 10590 12380 18570 21180 37140 218507 437014 655521 874028 1092535 1311042 2185070 2622084 3277605 4370140 6555210 13110420