Search a number
-
+
13411944 = 23327132389
BaseRepresentation
bin110011001010…
…011001101000
3221020101201200
4303022121220
511413140234
61155244200
7221666610
oct63123150
927211650
1013411944
117630657
1245a9660
132a17880
141ad1a40
15129dd99
hexcca668

13411944 has 192 divisors, whose sum is σ = 47174400. Its totient is φ = 3345408.

The previous prime is 13411943. The next prime is 13411969. The reversal of 13411944 is 44911431.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1728) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (13411943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150652 + ... + 150740.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 213411944 is an apocalyptic number.

13411944 is a gapful number since it is divisible by the number (14) 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 13411944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

13411944 is an abundant number, since it is smaller than the sum of its proper divisors (33762456).

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

13411944 is a wasteful number, since it uses less digits than its factorization.

13411944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 13411944 is about 3662.2321062434. The cubic root of 13411944 is about 237.5913236977.

The spelling of 13411944 in words is "thirteen million, four hundred eleven thousand, nine hundred forty-four".