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12340160 = 26572787
BaseRepresentation
bin101111000100…
…101111000000
3212012221111222
4233010233000
511124341120
61120254212
7206614100
oct57045700
925187458
1012340160
116a69388
124171368
132730a91
1418d3200
15113b525
hexbc4bc0

12340160 has 84 divisors (see below), whose sum is σ = 34225992. Its totient is φ = 4225536.

The previous prime is 12340157. The next prime is 12340171. The reversal of 12340160 is 6104321.

12340160 = T36 + T37 + ... + T419.

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 11 ways as a sum of consecutive naturals, for example, 15287 + ... + 16073.

Almost surely, 212340160 is an apocalyptic number.

12340160 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 12340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17112996).

12340160 is an abundant number, since it is smaller than the sum of its proper divisors (21885832).

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

12340160 is an equidigital number, since it uses as much as digits as its factorization.

12340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 12340160 is about 3512.8563876139. The cubic root of 12340160 is about 231.0859796253.

Adding to 12340160 its reverse (6104321), we get a palindrome (18444481).

The spelling of 12340160 in words is "twelve million, three hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 787 980 1120 1568 1574 1960 2240 3136 3148 3920 3935 5509 6296 7840 7870 11018 12592 15680 15740 22036 25184 27545 31480 38563 44072 50368 55090 62960 77126 88144 110180 125920 154252 176288 192815 220360 251840 308504 352576 385630 440720 617008 771260 881440 1234016 1542520 1762880 2468032 3085040 6170080 12340160