Search a number
-
+
10402243400 = 235252011217
BaseRepresentation
bin10011011000000010…
…11010001101001000
3222211221122201100002
421230001122031020
5132300433242100
64440112102132
7515530416143
oct115401321510
928757581302
1010402243400
11445888247a
122023834948
13c9a135c13
1470974d05a
1540d3662d5
hex26c05a348

10402243400 has 24 divisors (see below), whose sum is σ = 24185216370. Its totient is φ = 4160897280.

The previous prime is 10402243399. The next prime is 10402243417. The reversal of 10402243400 is 434220401.

It can be written as a sum of positive squares in 3 ways, for example, as 10004400484 + 397842916 = 100022^2 + 19946^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 26005409 + ... + 26005808.

Almost surely, 210402243400 is an apocalyptic number.

10402243400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402243400 is an abundant number, since it is smaller than the sum of its proper divisors (13782972970).

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

10402243400 is a wasteful number, since it uses less digits than its factorization.

10402243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52011233 (or 52011224 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10402243400 its reverse (434220401), we get a palindrome (10836463801).

The spelling of 10402243400 in words is "ten billion, four hundred two million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 52011217 104022434 208044868 260056085 416089736 520112170 1040224340 1300280425 2080448680 2600560850 5201121700 10402243400