Search a number
-
+
10400212424 = 2371753105943
BaseRepresentation
bin10011010111110011…
…01010010111001000
3222211210211112100202
421223321222113020
5132244423244144
64440000351332
7515504230010
oct115371522710
928753745322
1010400212424
114457715588
122023015548
13c998a4664
14709380c40
1540d0b464e
hex26be6a5c8

10400212424 has 32 divisors (see below), whose sum is σ = 22299093120. Its totient is φ = 4454649216.

The previous prime is 10400212421. The next prime is 10400212441. The reversal of 10400212424 is 42421200401.

It is a junction number, because it is equal to n+sod(n) for n = 10400212396 and 10400212405.

It is not an unprimeable number, because it can be changed into a prime (10400212421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45197 + ... + 151139.

It is an arithmetic number, because the mean of its divisors is an integer number (696846660).

Almost surely, 210400212424 is an apocalyptic number.

10400212424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10400212424 is an abundant number, since it is smaller than the sum of its proper divisors (11898880696).

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

10400212424 is a wasteful number, since it uses less digits than its factorization.

10400212424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107709 (or 107705 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10400212424 its reverse (42421200401), we get a palindrome (52821412825).

The spelling of 10400212424 in words is "ten billion, four hundred million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 1753 3506 7012 12271 14024 24542 49084 98168 105943 211886 423772 741601 847544 1483202 2966404 5932808 185718079 371436158 742872316 1300026553 1485744632 2600053106 5200106212 10400212424