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13340160 = 29335193
BaseRepresentation
bin110010111000…
…111000000000
3221002202021000
4302320320000
511403341120
61153532000
7221250411
oct62707000
927082230
1013340160
117591729
124574000
1329c0cb2
141ab3808
151287990
hexcb8e00

13340160 has 160 divisors (see below), whose sum is σ = 47630880. Its totient is φ = 3538944.

The previous prime is 13340143. The next prime is 13340167. The reversal of 13340160 is 6104331.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13340167) 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, 69024 + ... + 69216.

It is an arithmetic number, because the mean of its divisors is an integer number (297693).

Almost surely, 213340160 is an apocalyptic number.

13340160 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 13340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23815440).

13340160 is an abundant number, since it is smaller than the sum of its proper divisors (34290720).

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

13340160 is an equidigital number, since it uses as much as digits as its factorization.

13340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13340160 is about 3652.4183769114. The cubic root of 13340160 is about 237.1666829361.

Adding to 13340160 its reverse (6104331), we get a palindrome (19444491).

The spelling of 13340160 in words is "thirteen million, three hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 193 216 240 256 270 288 320 360 384 386 432 480 512 540 576 579 640 720 768 772 864 960 965 1080 1152 1158 1280 1440 1536 1544 1728 1737 1920 1930 2160 2304 2316 2560 2880 2895 3088 3456 3474 3840 3860 4320 4608 4632 5211 5760 5790 6176 6912 6948 7680 7720 8640 8685 9264 10422 11520 11580 12352 13824 13896 15440 17280 17370 18528 20844 23040 23160 24704 26055 27792 30880 34560 34740 37056 41688 46320 49408 52110 55584 61760 69120 69480 74112 83376 92640 98816 104220 111168 123520 138960 148224 166752 185280 208440 222336 247040 277920 296448 333504 370560 416880 444672 494080 555840 667008 741120 833760 889344 1111680 1334016 1482240 1667520 2223360 2668032 3335040 4446720 6670080 13340160