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13200160 = 2551723211
BaseRepresentation
bin110010010110…
…101100100000
3220211122012211
4302112230200
511334401120
61150531504
7220125301
oct62265440
926748184
1013200160
1174a6526
124506b94
13297235c
141a787a8
15125b25a
hexc96b20

13200160 has 96 divisors (see below), whose sum is σ = 34618752. Its totient is φ = 4730880.

The previous prime is 13200119. The next prime is 13200169. The reversal of 13200160 is 6100231.

It is a self number, because there is not a number n which added to its sum of digits gives 13200160.

It is not an unprimeable number, because it can be changed into a prime (13200169) 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, 62455 + ... + 62665.

It is an arithmetic number, because the mean of its divisors is an integer number (360612).

Almost surely, 213200160 is an apocalyptic number.

13200160 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 13200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309376).

13200160 is an abundant number, since it is smaller than the sum of its proper divisors (21418592).

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

13200160 is a wasteful number, since it uses less digits than its factorization.

13200160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 13200160 is about 3633.2024441256. The cubic root of 13200160 is about 236.3341049711.

Adding to 13200160 its reverse (6100231), we get a palindrome (19300391).

The spelling of 13200160 in words is "thirteen million, two hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 68 80 85 92 115 136 160 170 184 211 230 272 340 368 391 422 460 544 680 736 782 844 920 1055 1360 1564 1688 1840 1955 2110 2720 3128 3376 3587 3680 3910 4220 4853 6256 6752 7174 7820 8440 9706 12512 14348 15640 16880 17935 19412 24265 28696 31280 33760 35870 38824 48530 57392 62560 71740 77648 82501 97060 114784 143480 155296 165002 194120 286960 330004 388240 412505 573920 660008 776480 825010 1320016 1650020 2640032 3300040 6600080 13200160