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12195024 = 243833061
BaseRepresentation
bin101110100001…
…010011010000
3211221120102120
4232201103100
511110220044
61113214240
7205441002
oct56412320
924846376
1012195024
11697a336
124101380
1326ac9ba
141896372
15110d519
hexba14d0

12195024 has 40 divisors (see below), whose sum is σ = 31893792. Its totient is φ = 4014720.

The previous prime is 12195023. The next prime is 12195049. The reversal of 12195024 is 42059121.

It is a super-2 number, since 2×121950242 = 297437220721152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12194985 and 12195003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12195023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2454 + ... + 5514.

Almost surely, 212195024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12195024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946896).

12195024 is an abundant number, since it is smaller than the sum of its proper divisors (19698768).

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

12195024 is a wasteful number, since it uses less digits than its factorization.

12195024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 12195024 is about 3492.1374543394. The cubic root of 12195024 is about 230.1764493496.

The spelling of 12195024 in words is "twelve million, one hundred ninety-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3061 3984 6122 9183 12244 18366 24488 36732 48976 73464 146928 254063 508126 762189 1016252 1524378 2032504 3048756 4065008 6097512 12195024