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12007660 = 2257199431
BaseRepresentation
bin101101110011…
…100011101100
3211121001102011
4231303203230
511033221120
61105211004
7204030520
oct55634354
924531364
1012007660
116861595
124030a64
132645632
141847d80
1510c2c5a
hexb738ec

12007660 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 4086720.

The previous prime is 12007651. The next prime is 12007663. The reversal of 12007660 is 6670021.

It is not an unprimeable number, because it can be changed into a prime (12007663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27645 + ... + 28075.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 212007660 is an apocalyptic number.

12007660 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 12007660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

12007660 is an abundant number, since it is smaller than the sum of its proper divisors (17022740).

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

12007660 is a wasteful number, since it uses less digits than its factorization.

12007660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 12007660 is about 3465.2070645201. The cubic root of 12007660 is about 228.9915520996.

Adding to 12007660 its reverse (6670021), we get a palindrome (18677681).

The spelling of 12007660 in words is "twelve million, seven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 431 796 862 995 1393 1724 1990 2155 2786 3017 3980 4310 5572 6034 6965 8620 12068 13930 15085 27860 30170 60340 85769 171538 343076 428845 600383 857690 1200766 1715380 2401532 3001915 6003830 12007660