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11123892 = 22341319139
BaseRepresentation
bin101010011011…
…110010110100
3202221011010000
4222123302310
510321431032
61034231300
7163360113
oct52336264
922834100
1011123892
1163085aa
123885530
1323c62b0
141697c7a
15e9ae7c
hexa9bcb4

11123892 has 120 divisors (see below), whose sum is σ = 33202400. Its totient is φ = 3219264.

The previous prime is 11123887. The next prime is 11123923. The reversal of 11123892 is 29832111.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79959 + ... + 80097.

Almost surely, 211123892 is an apocalyptic number.

11123892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

11123892 is the 1668-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601200).

11123892 is an abundant number, since it is smaller than the sum of its proper divisors (22078508).

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

11123892 is a wasteful number, since it uses less digits than its factorization.

11123892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 176 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11123892 is about 3335.2499156735. The cubic root of 11123892 is about 223.2298433908.

The spelling of 11123892 in words is "eleven million, one hundred twenty-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 139 156 162 171 228 234 247 278 324 342 351 417 468 494 513 556 684 702 741 834 988 1026 1053 1251 1404 1482 1539 1668 1807 2052 2106 2223 2502 2641 2964 3078 3614 3753 4212 4446 5004 5282 5421 6156 6669 7228 7506 7923 8892 10564 10842 11259 13338 15012 15846 16263 20007 21684 22518 23769 26676 31692 32526 34333 40014 45036 47538 48789 65052 68666 71307 80028 95076 97578 102999 137332 142614 146367 195156 205998 213921 285228 292734 308997 411996 427842 585468 617994 855684 926991 1235988 1853982 2780973 3707964 5561946 11123892