Search a number
-
+
13715520 = 2635713157
BaseRepresentation
bin110100010100…
…100001000000
3221210211011020
4310110201000
512002344040
61205545440
7224402640
oct64244100
927724136
1013715520
117818745
124715280
132ac2ac0
141b70520
15130dcd0
hexd14840

13715520 has 224 divisors, whose sum is σ = 53937408. Its totient is φ = 2875392.

The previous prime is 13715491. The next prime is 13715531. The reversal of 13715520 is 2551731.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87282 + ... + 87438.

It is an arithmetic number, because the mean of its divisors is an integer number (240792).

Almost surely, 213715520 is an apocalyptic number.

13715520 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 13715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26968704).

13715520 is an abundant number, since it is smaller than the sum of its proper divisors (40221888).

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

13715520 is a wasteful number, since it uses less digits than its factorization.

13715520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 13715520 is about 3703.4470429588. The cubic root of 13715520 is about 239.3705729218.

The spelling of 13715520 in words is "thirteen million, seven hundred fifteen thousand, five hundred twenty".