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240020001 = 32139721149
BaseRepresentation
bin11100100111001…
…10101000100001
3121201122021112200
432103212220201
5442421120001
635452243413
75643064524
oct1623465041
9551567480
10240020001
11113537641
1268470569
133a959c90
1423c3cbbb
1516112086
hexe4e6a21

240020001 has 24 divisors (see below), whose sum is σ = 377231400. Its totient is φ = 146174976.

The previous prime is 240019961. The next prime is 240020003. The reversal of 240020001 is 100020042.

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 239166225 = 924^2 + 15465^2 .

It is not a de Polignac number, because 240020001 - 219 = 239495713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (240020003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 775 + ... + 21923.

It is an arithmetic number, because the mean of its divisors is an integer number (15717975).

Almost surely, 2240020001 is an apocalyptic number.

It is an amenable number.

240020001 is a deficient number, since it is larger than the sum of its proper divisors (137211399).

240020001 is a wasteful number, since it uses less digits than its factorization.

240020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21265 (or 21262 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 240020001 is about 15492.5789008803. The cubic root of 240020001 is about 621.4637639772.

Adding to 240020001 its reverse (100020042), we get a palindrome (340040043).

The spelling of 240020001 in words is "two hundred forty million, twenty thousand, one".

Divisors: 1 3 9 13 39 97 117 291 873 1261 3783 11349 21149 63447 190341 274937 824811 2051453 2474433 6154359 18463077 26668889 80006667 240020001