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11414320 = 245612339
BaseRepresentation
bin101011100010…
…101100110000
3210110220111121
4223202230300
510410224240
61044352024
7166006621
oct53425460
923426447
1011414320
116496825
1239a5614
132498548
141731a48
15100704a
hexae2b30

11414320 has 40 divisors (see below), whose sum is σ = 26984880. Its totient is φ = 4488960.

The previous prime is 11414311. The next prime is 11414323. The reversal of 11414320 is 2341411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11414294 and 11414303.

It is not an unprimeable number, because it can be changed into a prime (11414323) 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 7 ways as a sum of consecutive naturals, for example, 3711 + ... + 6049.

It is an arithmetic number, because the mean of its divisors is an integer number (674622).

Almost surely, 211414320 is an apocalyptic number.

11414320 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 11414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13492440).

11414320 is an abundant number, since it is smaller than the sum of its proper divisors (15570560).

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

11414320 is a wasteful number, since it uses less digits than its factorization.

11414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11414320 is about 3378.5085466815. The cubic root of 11414320 is about 225.1559084029.

Adding to 11414320 its reverse (2341411), we get a palindrome (13755731).

The spelling of 11414320 in words is "eleven million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2339 2440 4678 4880 9356 11695 18712 23390 37424 46780 93560 142679 187120 285358 570716 713395 1141432 1426790 2282864 2853580 5707160 11414320