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12147520 = 2657111729
BaseRepresentation
bin101110010101…
…101101000000
3211212011021011
4232111231000
511102210040
61112210304
7205152340
oct56255500
924764234
1012147520
116947680
124099994
1326941a8
141882d20
1510ee3ea
hexb95b40

12147520 has 224 divisors, whose sum is σ = 39502080. Its totient is φ = 3440640.

The previous prime is 12147463. The next prime is 12147529. The reversal of 12147520 is 2574121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12147491 and 12147500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12147529) 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 31 ways as a sum of consecutive naturals, for example, 418866 + ... + 418894.

Almost surely, 212147520 is an apocalyptic number.

12147520 is a gapful number since it is divisible by the number (10) 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 12147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751040).

12147520 is an abundant number, since it is smaller than the sum of its proper divisors (27354560).

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

12147520 is a wasteful number, since it uses less digits than its factorization.

12147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 12147520 is about 3485.3292527393. The cubic root of 12147520 is about 229.8771871114.

The spelling of 12147520 in words is "twelve million, one hundred forty-seven thousand, five hundred twenty".