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13134000 = 2435311199
BaseRepresentation
bin110010000110…
…100010110000
3220201021110110
4302012202300
511330242000
61145301320
7216431355
oct62064260
926637413
1013134000
117460850
124494840
13294b1c9
141a5c62c
151246850
hexc868b0

13134000 has 160 divisors (see below), whose sum is σ = 46425600. Its totient is φ = 3168000.

The previous prime is 13133969. The next prime is 13134007. The reversal of 13134000 is 43131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13134007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65901 + ... + 66099.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 213134000 is an apocalyptic number.

13134000 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 13134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212800).

13134000 is an abundant number, since it is smaller than the sum of its proper divisors (33291600).

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

13134000 is a wasteful number, since it uses less digits than its factorization.

13134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13134000 is about 3624.0860916926. The cubic root of 13134000 is about 235.9386031994.

Adding to 13134000 its reverse (43131), we get a palindrome (13177131).

The spelling of 13134000 in words is "thirteen million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 199 200 220 240 250 264 275 300 330 375 398 400 440 500 528 550 597 600 660 750 796 825 880 995 1000 1100 1194 1200 1320 1375 1500 1592 1650 1990 2000 2189 2200 2388 2640 2750 2985 3000 3184 3300 3980 4125 4378 4400 4776 4975 5500 5970 6000 6567 6600 7960 8250 8756 9552 9950 10945 11000 11940 13134 13200 14925 15920 16500 17512 19900 21890 22000 23880 24875 26268 29850 32835 33000 35024 39800 43780 47760 49750 52536 54725 59700 65670 66000 74625 79600 87560 99500 105072 109450 119400 131340 149250 164175 175120 199000 218900 238800 262680 273625 298500 328350 398000 437800 525360 547250 597000 656700 820875 875600 1094500 1194000 1313400 1641750 2189000 2626800 3283500 4378000 6567000 13134000