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13413440 = 265167251
BaseRepresentation
bin110011001010…
…110001000000
3221020110210002
4303022301000
511413212230
61155255132
7222004145
oct63126100
927213702
1013413440
117631797
1245aa4a8
132a18461
141ad23cc
15129e545
hexccac40

13413440 has 56 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 5312000.

The previous prime is 13413419. The next prime is 13413443. The reversal of 13413440 is 4431431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13413443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53315 + ... + 53565.

It is an arithmetic number, because the mean of its divisors is an integer number (576072).

Almost surely, 213413440 is an apocalyptic number.

13413440 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 13413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

13413440 is an abundant number, since it is smaller than the sum of its proper divisors (18846592).

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

13413440 is a wasteful number, since it uses less digits than its factorization.

13413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 13413440 is about 3662.4363475697. The cubic root of 13413440 is about 237.6001572023.

Adding to 13413440 its reverse (4431431), we get a palindrome (17844871).

Subtracting from 13413440 its reverse (4431431), we obtain a square (8982009 = 29972).

The spelling of 13413440 in words is "thirteen million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 167 251 320 334 502 668 835 1004 1255 1336 1670 2008 2510 2672 3340 4016 5020 5344 6680 8032 10040 10688 13360 16064 20080 26720 40160 41917 53440 80320 83834 167668 209585 335336 419170 670672 838340 1341344 1676680 2682688 3353360 6706720 13413440