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11298126 = 237283463
BaseRepresentation
bin101011000110…
…010101001110
3210021000010010
4223012111032
510343020001
61042054050
7165014100
oct53062516
923230103
1011298126
1164174a4
12394a326
1324576a8
141701570
15ed28d6
hexac654e

11298126 has 48 divisors (see below), whose sum is σ = 26659584. Its totient is φ = 3182256.

The previous prime is 11298107. The next prime is 11298127. The reversal of 11298126 is 62189211.

It is a happy number.

11298126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112981262 = 255295302223752, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11298093 and 11298102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11298127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24171 + ... + 24633.

It is an arithmetic number, because the mean of its divisors is an integer number (555408).

Almost surely, 211298126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11298126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329792).

11298126 is an abundant number, since it is smaller than the sum of its proper divisors (15361458).

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

11298126 is a wasteful number, since it uses less digits than its factorization.

11298126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 11298126 is about 3361.2685105478. The cubic root of 11298126 is about 224.3892969943.

The spelling of 11298126 in words is "eleven million, two hundred ninety-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 249 294 463 498 581 926 1162 1389 1743 2778 3241 3486 4067 6482 8134 9723 12201 19446 22687 24402 38429 45374 68061 76858 115287 136122 230574 269003 538006 807009 1614018 1883021 3766042 5649063 11298126