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13163360 = 255722373
BaseRepresentation
bin110010001101…
…101101100000
3220202202201212
4302031231200
511332211420
61150045252
7216613100
oct62155540
926682655
1013163360
117480911
1244a9828
13295b692
141a69200
1512503c5
hexc8db60

13163360 has 144 divisors (see below), whose sum is σ = 38265696. Its totient is φ = 4257792.

The previous prime is 13163357. The next prime is 13163363. The reversal of 13163360 is 6336131.

13163360 = T323 + T324 + ... + T482.

It is an interprime number because it is at equal distance from previous prime (13163357) and next prime (13163363).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13163363) by changing a digit.

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, 180284 + ... + 180356.

It is an arithmetic number, because the mean of its divisors is an integer number (265734).

Almost surely, 213163360 is an apocalyptic number.

13163360 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 13163360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19132848).

13163360 is an abundant number, since it is smaller than the sum of its proper divisors (25102336).

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

13163360 is a wasteful number, since it uses less digits than its factorization.

13163360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 13163360 is about 3628.1345068782. The cubic root of 13163360 is about 236.1142796140.

Adding to 13163360 its reverse (6336131), we get a palindrome (19499491).

The spelling of 13163360 in words is "thirteen million, one hundred sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 49 56 70 73 80 92 98 112 115 140 146 160 161 184 196 224 230 245 280 292 322 365 368 392 460 490 511 560 584 644 730 736 784 805 920 980 1022 1120 1127 1168 1288 1460 1568 1610 1679 1840 1960 2044 2254 2336 2555 2576 2920 3220 3358 3577 3680 3920 4088 4508 5110 5152 5635 5840 6440 6716 7154 7840 8176 8395 9016 10220 11270 11680 11753 12880 13432 14308 16352 16790 17885 18032 20440 22540 23506 25760 26864 28616 33580 35770 36064 40880 45080 47012 53728 57232 58765 67160 71540 81760 82271 90160 94024 114464 117530 134320 143080 164542 180320 188048 235060 268640 286160 329084 376096 411355 470120 572320 658168 822710 940240 1316336 1645420 1880480 2632672 3290840 6581680 13163360