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201468672 = 283287443
BaseRepresentation
bin11000000001000…
…10101100000000
3112001002200001200
430000202230000
5403033444142
631554101200
74664312136
oct1400425400
9461080050
10201468672
11a37a6439
125757a800
133297c942
141ca85756
1512a4964c
hexc022b00

201468672 has 54 divisors (see below), whose sum is σ = 580890492. Its totient is φ = 67155456.

The previous prime is 201468671. The next prime is 201468679. The reversal of 201468672 is 276864102.

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

It is not an unprimeable number, because it can be changed into a prime (201468671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41418 + ... + 46025.

Almost surely, 2201468672 is an apocalyptic number.

It is an amenable number.

201468672 is an abundant number, since it is smaller than the sum of its proper divisors (379421820).

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

201468672 is an equidigital number, since it uses as much as digits as its factorization.

201468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87465 (or 87448 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 201468672 is about 14193.9660419490. The cubic root of 201468672 is about 586.2315322506.

The spelling of 201468672 in words is "two hundred one million, four hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 87443 174886 262329 349772 524658 699544 786987 1049316 1399088 1573974 2098632 2798176 3147948 4197264 5596352 6295896 8394528 11192704 12591792 16789056 22385408 25183584 33578112 50367168 67156224 100734336 201468672