Search a number
-
+
12194592 = 253592153
BaseRepresentation
bin101110100001…
…001100100000
3211221112211120
4232201030200
511110211332
61113212240
7205436514
oct56411440
924845746
1012194592
116979a83
124101080
1326ac747
141896144
15110d32c
hexba1320

12194592 has 48 divisors (see below), whose sum is σ = 32568480. Its totient is φ = 3994112.

The previous prime is 12194569. The next prime is 12194629. The reversal of 12194592 is 29549121.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4588 + ... + 6740.

It is an arithmetic number, because the mean of its divisors is an integer number (678510).

Almost surely, 212194592 is an apocalyptic number.

12194592 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 12194592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284240).

12194592 is an abundant number, since it is smaller than the sum of its proper divisors (20373888).

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

12194592 is a wasteful number, since it uses less digits than its factorization.

12194592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2217 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 12194592 is about 3492.0756005562. The cubic root of 12194592 is about 230.1737313722.

The spelling of 12194592 in words is "twelve million, one hundred ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2153 2832 4306 5664 6459 8612 12918 17224 25836 34448 51672 68896 103344 127027 206688 254054 381081 508108 762162 1016216 1524324 2032432 3048648 4064864 6097296 12194592