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12147408 = 2434713103
BaseRepresentation
bin101110010101…
…101011010000
3211212011010000
4232111223100
511102204113
61112210000
7205152120
oct56255320
924764100
1012147408
116947589
124099900
132694120
141882c80
1510ee373
hexb95ad0

12147408 has 200 divisors, whose sum is σ = 43691648. Its totient is φ = 3172608.

The previous prime is 12147397. The next prime is 12147463. The reversal of 12147408 is 80474121.

12147408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121474082 = 295119042236928, which contains 22 as substring.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117885 + ... + 117987.

Almost surely, 212147408 is an apocalyptic number.

12147408 is a gapful number since it is divisible by the number (18) 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 12147408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21845824).

12147408 is an abundant number, since it is smaller than the sum of its proper divisors (31544240).

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

12147408 is a wasteful number, since it uses less digits than its factorization.

12147408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 12147408 is about 3485.3131853536. The cubic root of 12147408 is about 229.8764806209.

The spelling of 12147408 in words is "twelve million, one hundred forty-seven thousand, four hundred eight".