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11277828 = 2232313273
BaseRepresentation
bin101011000001…
…011000000100
3210012222021100
4223001120010
510341342303
61041420100
7164600652
oct53013004
923188240
1011277828
116403221
12393a630
13244b393
1416d7dd2
15ecb8a3
hexac1604

11277828 has 18 divisors (see below), whose sum is σ = 28507934. Its totient is φ = 3759264.

The previous prime is 11277809. The next prime is 11277841. The reversal of 11277828 is 82877211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 3392964 = 2808^2 + 1842^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 313273 = 11277828 / (1 + 1 + 2 + 7 + 7 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 11277792 and 11277801.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156601 + ... + 156672.

Almost surely, 211277828 is an apocalyptic number.

11277828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11277828 is an abundant number, since it is smaller than the sum of its proper divisors (17230106).

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

11277828 is a wasteful number, since it uses less digits than its factorization.

11277828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313283 (or 313278 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 11277828 is about 3358.2477573878. The cubic root of 11277828 is about 224.2548385812.

The spelling of 11277828 in words is "eleven million, two hundred seventy-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 313273 626546 939819 1253092 1879638 2819457 3759276 5638914 11277828