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406400001 = 3727171411
BaseRepresentation
bin11000001110010…
…010110000000001
31001022201020222220
4120032102300001
51313014300001
6104154321253
713033225440
oct3016226001
91038636886
10406400001
11199447377
12b4129229
1366272697
143bd8cd57
1525a29c36
hex18392c01

406400001 has 16 divisors (see below), whose sum is σ = 621570048. Its totient is φ = 231368400.

The previous prime is 406399991. The next prime is 406400003. The reversal of 406400001 is 100004604.

It is not a de Polignac number, because 406400001 - 215 = 406367233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (406400003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30015 + ... + 41396.

It is an arithmetic number, because the mean of its divisors is an integer number (38848128).

Almost surely, 2406400001 is an apocalyptic number.

It is an amenable number.

406400001 is a deficient number, since it is larger than the sum of its proper divisors (215170047).

406400001 is a wasteful number, since it uses less digits than its factorization.

406400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71692.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 406400001 is about 20159.3650941690. The cubic root of 406400001 is about 740.7151602179.

Adding to 406400001 its reverse (100004604), we get a palindrome (506404605).

The spelling of 406400001 in words is "four hundred six million, four hundred thousand, one".

Divisors: 1 3 7 21 271 813 1897 5691 71411 214233 499877 1499631 19352381 58057143 135466667 406400001