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13720040 = 235714831
BaseRepresentation
bin110100010101…
…100111101000
3221211001100122
4310111213220
512003020130
61210022412
7224422055
oct64254750
927731318
1013720040
117821084
124717a08
132ac4b89
141b7202c
1513102e5
hexd159e8

13720040 has 32 divisors (see below), whose sum is σ = 31311360. Its totient is φ = 5409600.

The previous prime is 13720039. The next prime is 13720061. The reversal of 13720040 is 4002731.

It is a happy number.

13720040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425 + ... + 5255.

It is an arithmetic number, because the mean of its divisors is an integer number (978480).

Almost surely, 213720040 is an apocalyptic number.

13720040 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 13720040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655680).

13720040 is an abundant number, since it is smaller than the sum of its proper divisors (17591320).

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

13720040 is a wasteful number, since it uses less digits than its factorization.

13720040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4913 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 13720040 is about 3704.0572349790. The cubic root of 13720040 is about 239.3968651843.

Adding to 13720040 its reverse (4002731), we get a palindrome (17722771).

The spelling of 13720040 in words is "thirteen million, seven hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 4831 9662 19324 24155 38648 48310 96620 193240 343001 686002 1372004 1715005 2744008 3430010 6860020 13720040