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20201472 = 21432137
BaseRepresentation
bin100110100010…
…0000000000000
31102000100012200
41031010000000
520132421342
62000553200
7333465264
oct115040000
942010180
1020201472
1110448735
126922800
134254045
14297c0a4
151b9094c
hex1344000

20201472 has 90 divisors (see below), whose sum is σ = 58783998. Its totient is φ = 6684672.

The previous prime is 20201449. The next prime is 20201477. The reversal of 20201472 is 27410202.

It can be written as a sum of positive squares in only one way, i.e., 17842176 + 2359296 = 4224^2 + 1536^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147388 + ... + 147524.

Almost surely, 220201472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29391999).

20201472 is an abundant number, since it is smaller than the sum of its proper divisors (38582526).

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

20201472 is an equidigital number, since it uses as much as digits as its factorization.

20201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20201472 is about 4494.6047657163. The cubic root of 20201472 is about 272.3501833383.

Adding to 20201472 its reverse (27410202), we get a palindrome (47611674).

The spelling of 20201472 in words is "twenty million, two hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 512 548 576 768 822 1024 1096 1152 1233 1536 1644 2048 2192 2304 2466 3072 3288 4096 4384 4608 4932 6144 6576 8192 8768 9216 9864 12288 13152 16384 17536 18432 19728 24576 26304 35072 36864 39456 49152 52608 70144 73728 78912 105216 140288 147456 157824 210432 280576 315648 420864 561152 631296 841728 1122304 1262592 1683456 2244608 2525184 3366912 5050368 6733824 10100736 20201472