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400105541 = 111011133187
BaseRepresentation
bin10111110110010…
…010000001000101
31000212212110121202
4113312102001011
51304411334131
6103411352245
712625561313
oct2766220105
91025773552
10400105541
11195938240
12b1bb2685
1364b7a654
143b1d10b3
15251d4bcb
hex17d92045

400105541 has 16 divisors (see below), whose sum is σ = 444840768. Its totient is φ = 356832000.

The previous prime is 400105513. The next prime is 400105579. The reversal of 400105541 is 145501004.

It is a cyclic number.

It is not a de Polignac number, because 400105541 - 210 = 400104517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400105241) 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 15 ways as a sum of consecutive naturals, for example, 123950 + ... + 127136.

It is an arithmetic number, because the mean of its divisors is an integer number (27802548).

Almost surely, 2400105541 is an apocalyptic number.

It is an amenable number.

400105541 is a deficient number, since it is larger than the sum of its proper divisors (44735227).

400105541 is a wasteful number, since it uses less digits than its factorization.

400105541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 400105541 is about 20002.6383509776. The cubic root of 400105541 is about 736.8710967575.

Adding to 400105541 its reverse (145501004), we get a palindrome (545606545).

The spelling of 400105541 in words is "four hundred million, one hundred five thousand, five hundred forty-one".

Divisors: 1 11 101 113 1111 1243 3187 11413 35057 125543 321887 360131 3540757 3961441 36373231 400105541