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13189248 = 27321072
BaseRepresentation
bin110010010100…
…000010000000
3220211002020200
4302110002000
511334023443
61150405200
7220051422
oct62240200
926732220
1013189248
117499306
124500800
13296a3b7
141a74812
151257dd3
hexc94080

13189248 has 72 divisors (see below), whose sum is σ = 38311455. Its totient is φ = 4355328.

The previous prime is 13189243. The next prime is 13189259. The reversal of 13189248 is 84298131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6594624 + 6594624 = 2568^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2568.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13189243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123211 + ... + 123317.

Almost surely, 213189248 is an apocalyptic number.

13189248 is a gapful number since it is divisible by the number (18) 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 13189248

13189248 is an abundant number, since it is smaller than the sum of its proper divisors (25122207).

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

13189248 is an equidigital number, since it uses as much as digits as its factorization.

13189248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 112 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13189248 is about 3631.7004281741. The cubic root of 13189248 is about 236.2689646320.

The spelling of 13189248 in words is "thirteen million, one hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 288 321 384 428 576 642 856 963 1152 1284 1712 1926 2568 3424 3852 5136 6848 7704 10272 11449 13696 15408 20544 22898 30816 34347 41088 45796 61632 68694 91592 103041 123264 137388 183184 206082 274776 366368 412164 549552 732736 824328 1099104 1465472 1648656 2198208 3297312 4396416 6594624 13189248