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13011420 = 2235375861
BaseRepresentation
bin110001101000…
…100111011100
3220111001022110
4301220213130
511312331140
61142514020
7215411112
oct61504734
926431273
1013011420
117387744
124435910
132907486
141a29ab2
151220380
hexc689dc

13011420 has 48 divisors (see below), whose sum is σ = 37423008. Its totient is φ = 3375360.

The previous prime is 13011407. The next prime is 13011421. The reversal of 13011420 is 2411031.

13011420 = T96 + T97 + ... + T428.

It is a happy number.

13011420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 13011396 and 13011405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711 + ... + 5150.

It is an arithmetic number, because the mean of its divisors is an integer number (779646).

Almost surely, 213011420 is an apocalyptic number.

13011420 is a gapful number since it is divisible by the number (10) 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 13011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18711504).

13011420 is an abundant number, since it is smaller than the sum of its proper divisors (24411588).

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

13011420 is a wasteful number, since it uses less digits than its factorization.

13011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5908 counting only the distinct ones).

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

The square root of 13011420 is about 3607.1345968788. The cubic root of 13011420 is about 235.2023005236.

Adding to 13011420 its reverse (2411031), we get a palindrome (15422451).

It can be divided in two parts, 13011 and 420, that added together give a palindrome (13431).

The spelling of 13011420 in words is "thirteen million, eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5861 11722 17583 23444 29305 35166 58610 70332 87915 117220 175830 216857 351660 433714 650571 867428 1084285 1301142 2168570 2602284 3252855 4337140 6505710 13011420