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201000456 = 23322791673
BaseRepresentation
bin10111111101100…
…00011000001000
3112000012212210100
423332300120020
5402424003311
631540045400
74660322106
oct1376603010
9460185710
10201000456
11a3506688
1257393860
13328477a7
141c9a2c76
15129a5a56
hexbfb0608

201000456 has 24 divisors (see below), whose sum is σ = 544376430. Its totient is φ = 67000128.

The previous prime is 201000439. The next prime is 201000461. The reversal of 201000456 is 654000102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 200675556 + 324900 = 14166^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1395765 + ... + 1395908.

Almost surely, 2201000456 is an apocalyptic number.

It is an amenable number.

201000456 is an abundant number, since it is smaller than the sum of its proper divisors (343375974).

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

201000456 is a wasteful number, since it uses less digits than its factorization.

201000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791685 (or 2791678 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201000456 is about 14177.4629606287. The cubic root of 201000456 is about 585.7770432401. Note that the first 3 decimals are identical.

Adding to 201000456 its reverse (654000102), we get a palindrome (855000558).

The spelling of 201000456 in words is "two hundred one million, four hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2791673 5583346 8375019 11166692 16750038 22333384 25125057 33500076 50250114 67000152 100500228 201000456