Search a number
-
+
13410040 = 2357471019
BaseRepresentation
bin110011001001…
…111011111000
3221020022010011
4303021323320
511413110130
61155231304
7221661220
oct63117370
927208104
1013410040
11762a186
1245a8534
132a16a47
141ad1080
15129d52a
hexcc9ef8

13410040 has 64 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 4495488.

The previous prime is 13410031. The next prime is 13410071. The reversal of 13410040 is 4001431.

It is a self number, because there is not a number n which added to its sum of digits gives 13410040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12651 + ... + 13669.

It is an arithmetic number, because the mean of its divisors is an integer number (550800).

Almost surely, 213410040 is an apocalyptic number.

13410040 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 13410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

13410040 is an abundant number, since it is smaller than the sum of its proper divisors (21841160).

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

13410040 is a wasteful number, since it uses less digits than its factorization.

13410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13410040 is about 3661.9721462622. The cubic root of 13410040 is about 237.5800801055.

Adding to 13410040 its reverse (4001431), we get a palindrome (17411471).

The spelling of 13410040 in words is "thirteen million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1019 1316 1645 1880 2038 2632 3290 4076 5095 6580 7133 8152 10190 13160 14266 20380 28532 35665 40760 47893 57064 71330 95786 142660 191572 239465 285320 335251 383144 478930 670502 957860 1341004 1676255 1915720 2682008 3352510 6705020 13410040