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13317000 = 2335323193
BaseRepresentation
bin110010110011…
…001110001000
3221001120111020
4302303032020
511402121000
61153232440
7221123034
oct62631610
927046436
1013317000
117576294
124562720
1329b35a8
141aa91c4
151280ba0
hexcb3388

13317000 has 128 divisors (see below), whose sum is σ = 43580160. Its totient is φ = 3379200.

The previous prime is 13316999. The next prime is 13317013. The reversal of 13317000 is 71331.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 68904 + ... + 69096.

It is an arithmetic number, because the mean of its divisors is an integer number (340470).

Almost surely, 213317000 is an apocalyptic number.

13317000 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 13317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21790080).

13317000 is an abundant number, since it is smaller than the sum of its proper divisors (30263160).

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

13317000 is a wasteful number, since it uses less digits than its factorization.

13317000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 13317000 is about 3649.2464975663. The cubic root of 13317000 is about 237.0293541949.

Adding to 13317000 its reverse (71331), we get a palindrome (13388331).

The spelling of 13317000 in words is "thirteen million, three hundred seventeen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 193 200 230 250 276 300 345 375 386 460 500 552 575 579 600 690 750 772 920 965 1000 1150 1158 1380 1500 1544 1725 1930 2300 2316 2760 2875 2895 3000 3450 3860 4439 4600 4632 4825 5750 5790 6900 7720 8625 8878 9650 11500 11580 13317 13800 14475 17250 17756 19300 22195 23000 23160 24125 26634 28950 34500 35512 38600 44390 48250 53268 57900 66585 69000 72375 88780 96500 106536 110975 115800 133170 144750 177560 193000 221950 266340 289500 332925 443900 532680 554875 579000 665850 887800 1109750 1331700 1664625 2219500 2663400 3329250 4439000 6658500 13317000