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12073984 = 21013907
BaseRepresentation
bin101110000011…
…110000000000
3211201102101121
4232003300000
511042331414
61110442024
7204425056
oct56036000
924642347
1012073984
1168a73aa
124063314
132669890
1418641d6
1510d7724
hexb83c00

12073984 has 44 divisors (see below), whose sum is σ = 26021464. Its totient is φ = 5566464.

The previous prime is 12073979. The next prime is 12073991. The reversal of 12073984 is 48937021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12859 + ... + 13765.

Almost surely, 212073984 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 12073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13010732).

12073984 is an abundant number, since it is smaller than the sum of its proper divisors (13947480).

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

12073984 is an equidigital number, since it uses as much as digits as its factorization.

12073984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 12073984 is about 3474.7638768699. The cubic root of 12073984 is about 229.4123878649.

The spelling of 12073984 in words is "twelve million, seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 907 1024 1664 1814 3328 3628 6656 7256 11791 13312 14512 23582 29024 47164 58048 94328 116096 188656 232192 377312 464384 754624 928768 1509248 3018496 6036992 12073984