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13673430 = 23251391093
BaseRepresentation
bin110100001010…
…001111010110
3221201200102100
4310022033112
512000022210
61205022530
7224136141
oct64121726
927650370
1013673430
11779a061
1246b4a46
132aa98b4
141b5d058
1513015c0
hexd0a3d6

13673430 has 48 divisors (see below), whose sum is σ = 35839440. Its totient is φ = 3616704.

The previous prime is 13673419. The next prime is 13673437. The reversal of 13673430 is 3437631.

It is a happy number.

13673430 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 junction number, because it is equal to n+sod(n) for n = 13673394 and 13673403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13673437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11964 + ... + 13056.

It is an arithmetic number, because the mean of its divisors is an integer number (746655).

Almost surely, 213673430 is an apocalyptic number.

13673430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13673430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919720).

13673430 is an abundant number, since it is smaller than the sum of its proper divisors (22166010).

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

13673430 is a wasteful number, since it uses less digits than its factorization.

13673430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 13673430 is about 3697.7601328372. The cubic root of 13673430 is about 239.1254629748.

The spelling of 13673430 in words is "thirteen million, six hundred seventy-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1093 1251 1390 2085 2186 2502 3279 4170 5465 6255 6558 9837 10930 12510 16395 19674 32790 49185 98370 151927 303854 455781 759635 911562 1367343 1519270 2278905 2734686 4557810 6836715 13673430