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12947000 = 2353112107
BaseRepresentation
bin110001011000…
…111000111000
3220100202221112
4301120320320
511303301000
61141255452
7215022233
oct61307070
926322845
1012947000
117343300
124404588
1328b4061
141a1041a
15120b235
hexc58e38

12947000 has 96 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 4664000.

The previous prime is 12946991. The next prime is 12947027. The reversal of 12947000 is 74921.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 120947 + ... + 121053.

Almost surely, 212947000 is an apocalyptic number.

12947000 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 12947000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

12947000 is an abundant number, since it is smaller than the sum of its proper divisors (20664760).

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

12947000 is a wasteful number, since it uses less digits than its factorization.

12947000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 12947000 is about 3598.1939914351. The cubic root of 12947000 is about 234.8134931837.

The spelling of 12947000 in words is "twelve million, nine hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 121 125 200 214 220 242 250 275 428 440 484 500 535 550 605 856 968 1000 1070 1100 1177 1210 1375 2140 2200 2354 2420 2675 2750 3025 4280 4708 4840 5350 5500 5885 6050 9416 10700 11000 11770 12100 12947 13375 15125 21400 23540 24200 25894 26750 29425 30250 47080 51788 53500 58850 60500 64735 103576 107000 117700 121000 129470 147125 235400 258940 294250 323675 517880 588500 647350 1177000 1294700 1618375 2589400 3236750 6473500 12947000