13501740 has 192 divisors, whose sum is σ = 47996928. Its totient is φ = 2764800.

The previous prime is 13501739. The next prime is 13501753. The reversal of 13501740 is 4710531.

13501740 = T₁₆₁ + T₁₆₂ + ... + T₄₃₉.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221310 + ... + 221370.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^13501740 is an apocalyptic number.

13501740 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 13501740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

13501740 is an abundant number, since it is smaller than the sum of its proper divisors (34495188).

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

13501740 is a wasteful number, since it uses less digits than its factorization.

13501740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 13501740 is about 3674.4713905540. The cubic root of 13501740 is about 238.1203872736.

It can be divided in two parts, 13501 and 740, that added together give a palindrome (14241).

The spelling of 13501740 in words is "thirteen million, five hundred one thousand, seven hundred forty".