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13134420 = 22335131871
BaseRepresentation
bin110010000110…
…101001010100
3220201022001000
4302012221110
511330300140
61145303300
7216432525
oct62065124
926638030
1013134420
1174610a2
124494b30
13294b460
141a5c84c
151246a30
hexc86a54

13134420 has 96 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 3231360.

The previous prime is 13134413. The next prime is 13134427. The reversal of 13134420 is 2443131.

It is an interprime number because it is at equal distance from previous prime (13134413) and next prime (13134427).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13134393 and 13134402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6085 + ... + 7955.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 213134420 is an apocalyptic number.

13134420 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 13134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

13134420 is an abundant number, since it is smaller than the sum of its proper divisors (30895020).

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

13134420 is a wasteful number, since it uses less digits than its factorization.

13134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13134420 is about 3624.1440368727. The cubic root of 13134420 is about 235.9411181265.

Adding to 13134420 its reverse (2443131), we get a palindrome (15577551).

The spelling of 13134420 in words is "thirteen million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 1871 2340 3510 3742 5613 7020 7484 9355 11226 16839 18710 22452 24323 28065 33678 37420 48646 50517 56130 67356 72969 84195 97292 101034 112260 121615 145938 168390 202068 218907 243230 252585 291876 336780 364845 437814 486460 505170 656721 729690 875628 1010340 1094535 1313442 1459380 2189070 2626884 3283605 4378140 6567210 13134420