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12061000 = 235371723
BaseRepresentation
bin101110000000…
…100101001000
3211200202120201
4232000211020
511041423000
61110301544
7204342160
oct56004510
924622521
1012061000
116898676
1240578b4
1326639b3
14185d5a0
1510d396a
hexb80948

12061000 has 64 divisors (see below), whose sum is σ = 32273280. Its totient is φ = 4132800.

The previous prime is 12060989. The next prime is 12061003. The reversal of 12061000 is 16021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12061003) 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, 6139 + ... + 7861.

It is an arithmetic number, because the mean of its divisors is an integer number (504270).

Almost surely, 212061000 is an apocalyptic number.

12061000 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 12061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136640).

12061000 is an abundant number, since it is smaller than the sum of its proper divisors (20212280).

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

12061000 is a wasteful number, since it uses less digits than its factorization.

12061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12061000 is about 3472.8950459235. The cubic root of 12061000 is about 229.3301239711.

Adding to 12061000 its reverse (16021), we get a palindrome (12077021).

The spelling of 12061000 in words is "twelve million, sixty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1723 1750 3446 3500 6892 7000 8615 12061 13784 17230 24122 34460 43075 48244 60305 68920 86150 96488 120610 172300 215375 241220 301525 344600 430750 482440 603050 861500 1206100 1507625 1723000 2412200 3015250 6030500 12061000