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13155200 = 27524111
BaseRepresentation
bin110010001011…
…101110000000
3220202100112122
4302023232000
511331431300
61145543412
7216550232
oct62135600
926670478
1013155200
117475773
1244a4b68
132957a56
141a66252
15124cc85
hexc8bb80

13155200 has 48 divisors (see below), whose sum is σ = 32505360. Its totient is φ = 5260800.

The previous prime is 13155193. The next prime is 13155209. The reversal of 13155200 is 255131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1145 + ... + 5255.

It is an arithmetic number, because the mean of its divisors is an integer number (677195).

Almost surely, 213155200 is an apocalyptic number.

13155200 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 13155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16252680).

13155200 is an abundant number, since it is smaller than the sum of its proper divisors (19350160).

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

13155200 is an equidigital number, since it uses as much as digits as its factorization.

13155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 13155200 is about 3627.0097876901. The cubic root of 13155200 is about 236.0654802502.

The spelling of 13155200 in words is "thirteen million, one hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 4111 8222 16444 20555 32888 41110 65776 82220 102775 131552 164440 205550 263104 328880 411100 526208 657760 822200 1315520 1644400 2631040 3288800 6577600 13155200