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11273418 = 2341353101
BaseRepresentation
bin101011000000…
…010011001010
3210012202020000
4223000103022
510341222133
61041343430
7164552052
oct53002312
923182200
1011273418
1163aa982
123937b76
132449380
1416d6562
15eca413
hexac04ca

11273418 has 80 divisors (see below), whose sum is σ = 27991656. Its totient is φ = 3369600.

The previous prime is 11273417. The next prime is 11273443. The reversal of 11273418 is 81437211.

It can be written as a sum of positive squares in 4 ways, for example, as 10909809 + 363609 = 3303^2 + 603^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11273391 and 11273400.

It is not an unprimeable number, because it can be changed into a prime (11273417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111568 + ... + 111668.

Almost surely, 211273418 is an apocalyptic number.

11273418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11273418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995828).

11273418 is an abundant number, since it is smaller than the sum of its proper divisors (16718238).

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

11273418 is a wasteful number, since it uses less digits than its factorization.

11273418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 11273418 is about 3357.5911007745. The cubic root of 11273418 is about 224.2256044423.

The spelling of 11273418 in words is "eleven million, two hundred seventy-three thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 81 101 106 117 159 162 202 234 303 318 351 477 606 689 702 909 954 1053 1313 1378 1431 1818 2067 2106 2626 2727 2862 3939 4134 4293 5353 5454 6201 7878 8181 8586 10706 11817 12402 16059 16362 18603 23634 32118 35451 37206 48177 55809 69589 70902 96354 106353 111618 139178 144531 208767 212706 289062 417534 433593 626301 867186 1252602 1878903 3757806 5636709 11273418