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1413888 = 2837263
BaseRepresentation
bin101011001001100000000
32122211111020
411121030000
5330221023
650145440
715006060
oct5311400
92584436
101413888
11886303
12582280
133a6728
1428b3a0
151cdde3
hex159300

1413888 has 72 divisors (see below), whose sum is σ = 4316928. Its totient is φ = 402432.

The previous prime is 1413877. The next prime is 1413889. The reversal of 1413888 is 8883141.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1413889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5245 + ... + 5507.

21413888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158464).

1413888 is an abundant number, since it is smaller than the sum of its proper divisors (2903040).

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

1413888 is an equidigital number, since it uses as much as digits as its factorization.

1413888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 1413888 is about 1189.0702250078. The cubic root of 1413888 is about 112.2375908690.

The spelling of 1413888 in words is "one million, four hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 263 336 384 448 526 672 768 789 896 1052 1344 1578 1792 1841 2104 2688 3156 3682 4208 5376 5523 6312 7364 8416 11046 12624 14728 16832 22092 25248 29456 33664 44184 50496 58912 67328 88368 100992 117824 176736 201984 235648 353472 471296 706944 1413888