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11123420 = 22571131233
BaseRepresentation
bin101010011011…
…101011011100
3202221010110112
4222123223130
510321422140
61034225152
7163355540
oct52335334
922833415
1011123420
116308210
1238851b8
1323c6009
141697a20
15e9ac65
hexa9badc

11123420 has 96 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 3340800.

The previous prime is 11123393. The next prime is 11123471. The reversal of 11123420 is 2432111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11123395 and 11123404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47624 + ... + 47856.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 211123420 is an apocalyptic number.

11123420 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 11123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

11123420 is an abundant number, since it is smaller than the sum of its proper divisors (19068196).

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

11123420 is a wasteful number, since it uses less digits than its factorization.

11123420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11123420 is about 3335.1791556077. The cubic root of 11123420 is about 223.2266860433.

Adding to 11123420 its reverse (2432111), we get a palindrome (13555531).

The spelling of 11123420 in words is "eleven million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 233 308 310 341 385 434 466 620 682 770 868 932 1085 1165 1364 1540 1631 1705 2170 2330 2387 2563 3262 3410 4340 4660 4774 5126 6524 6820 7223 8155 9548 10252 11935 12815 14446 16310 17941 23870 25630 28892 32620 35882 36115 47740 50561 51260 71764 72230 79453 89705 101122 144460 158906 179410 202244 252805 317812 358820 397265 505610 556171 794530 1011220 1112342 1589060 2224684 2780855 5561710 11123420