Search a number
-
+
12409092 = 2233891291
BaseRepresentation
bin101111010101…
…100100000100
3212100110002000
4233111210010
511134042332
61121545300
7210322053
oct57254404
925313060
1012409092
117006153
1241a5230
132756277
14191039a
151151b7c
hexbd5904

12409092 has 48 divisors (see below), whose sum is σ = 32558400. Its totient is φ = 4086720.

The previous prime is 12409091. The next prime is 12409127. The reversal of 12409092 is 29090421.

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

It is not an unprimeable number, because it can be changed into a prime (12409091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8967 + ... + 10257.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 212409092 is an apocalyptic number.

12409092 is a gapful number since it is divisible by the number (12) 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 12409092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279200).

12409092 is an abundant number, since it is smaller than the sum of its proper divisors (20149308).

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

12409092 is a wasteful number, since it uses less digits than its factorization.

12409092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12409092 is about 3522.6541130233. The cubic root of 12409092 is about 231.5154621794.

The spelling of 12409092 in words is "twelve million, four hundred nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1291 1602 2403 2582 3204 3873 4806 5164 7746 9612 11619 15492 23238 34857 46476 69714 114899 139428 229798 344697 459596 689394 1034091 1378788 2068182 3102273 4136364 6204546 12409092