Search a number
-
+
408700131 = 3722780273
BaseRepresentation
bin11000010111000…
…100010011100011
31001111001010011220
4120113010103203
51314111401011
6104315510123
713061615400
oct3027042343
91044033156
10408700131
1119a778504
12b4a58343
13668995c8
143c3cb2a7
1525d31506
hex185c44e3

408700131 has 12 divisors (see below), whose sum is σ = 633902472. Its totient is φ = 233542848.

The previous prime is 408700129. The next prime is 408700141. The reversal of 408700131 is 131007804.

It is not a de Polignac number, because 408700131 - 21 = 408700129 is a prime.

It is a super-3 number, since 3×4087001313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (408700121) 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 11 ways as a sum of consecutive naturals, for example, 1389990 + ... + 1390283.

It is an arithmetic number, because the mean of its divisors is an integer number (52825206).

Almost surely, 2408700131 is an apocalyptic number.

408700131 is a deficient number, since it is larger than the sum of its proper divisors (225202341).

408700131 is a wasteful number, since it uses less digits than its factorization.

408700131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780290 (or 2780283 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 408700131 is about 20216.3332728762. Note that the first 3 decimals coincide. The cubic root of 408700131 is about 742.1099575979.

Adding to 408700131 its reverse (131007804), we get a palindrome (539707935).

The spelling of 408700131 in words is "four hundred eight million, seven hundred thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 2780273 8340819 19461911 58385733 136233377 408700131