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13478740 = 22511197311
BaseRepresentation
bin110011011010…
…101101010100
3221100210100121
4303122231110
511422304430
61200521324
7222365422
oct63325524
927323317
1013478740
117676860
124620244
132a3c0b2
141b0c112
1512b3a7a
hexcdab54

13478740 has 48 divisors (see below), whose sum is σ = 31135104. Its totient is φ = 4860800.

The previous prime is 13478723. The next prime is 13478747. The reversal of 13478740 is 4787431.

It is a junction number, because it is equal to n+sod(n) for n = 13478696 and 13478705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13478747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43185 + ... + 43495.

It is an arithmetic number, because the mean of its divisors is an integer number (648648).

Almost surely, 213478740 is an apocalyptic number.

13478740 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 13478740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552).

13478740 is an abundant number, since it is smaller than the sum of its proper divisors (17656364).

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

13478740 is a wasteful number, since it uses less digits than its factorization.

13478740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 13478740 is about 3671.3403546934. The cubic root of 13478740 is about 237.9850989894.

The spelling of 13478740 in words is "thirteen million, four hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 311 394 622 788 985 1244 1555 1970 2167 3110 3421 3940 4334 6220 6842 8668 10835 13684 17105 21670 34210 43340 61267 68420 122534 245068 306335 612670 673937 1225340 1347874 2695748 3369685 6739370 13478740