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13412160 = 263254657
BaseRepresentation
bin110011001010…
…011101000000
3221020102000200
4303022131000
511413142120
61155245200
7222000336
oct63123500
927212020
1013412160
117630833
1245a9800
132a179b8
141ad1b56
15129de90
hexcca740

13412160 has 84 divisors (see below), whose sum is σ = 46142148. Its totient is φ = 3575808.

The previous prime is 13412159. The next prime is 13412177. The reversal of 13412160 is 6121431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 10342656 = 1752^2 + 3216^2 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552 + ... + 5208.

Almost surely, 213412160 is an apocalyptic number.

13412160 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 13412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23071074).

13412160 is an abundant number, since it is smaller than the sum of its proper divisors (32729988).

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

13412160 is a wasteful number, since it uses less digits than its factorization.

13412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13412160 is about 3662.2615963363. The cubic root of 13412160 is about 237.5925991641.

Adding to 13412160 its reverse (6121431), we get a palindrome (19533591).

The spelling of 13412160 in words is "thirteen million, four hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4657 9314 13971 18628 23285 27942 37256 41913 46570 55884 69855 74512 83826 93140 111768 139710 149024 167652 186280 209565 223536 279420 298048 335304 372560 419130 447072 558840 670608 745120 838260 894144 1117680 1341216 1490240 1676520 2235360 2682432 3353040 4470720 6706080 13412160