Search a number
-
+
13457340 = 223651371
BaseRepresentation
bin110011010101…
…011110111100
3221022201000000
4303111132330
511421113330
61200234300
7222246141
oct63253674
927281000
1013457340
117661776
12460b990
132a32430
141b043c8
1512ac560
hexcd57bc

13457340 has 168 divisors, whose sum is σ = 46273248. Its totient is φ = 3265920.

The previous prime is 13457333. The next prime is 13457351. The reversal of 13457340 is 4375431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 189505 + ... + 189575.

It is an arithmetic number, because the mean of its divisors is an integer number (275436).

Almost surely, 213457340 is an apocalyptic number.

13457340 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 13457340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23136624).

13457340 is an abundant number, since it is smaller than the sum of its proper divisors (32815908).

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

13457340 is a wasteful number, since it uses less digits than its factorization.

13457340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 13457340 is about 3668.4247300442. The cubic root of 13457340 is about 237.8590837784.

The spelling of 13457340 in words is "thirteen million, four hundred fifty-seven thousand, three hundred forty".