Search a number
-
+
10424340640 = 25579307447
BaseRepresentation
bin10011011010101011…
…01101000010100000
3222220111020101001101
421231111231002200
5132322112400030
64442221444144
7516216301450
oct115525550240
928814211041
1010424340640
11446a2a545a
12202b110654
13ca18a1acc
1470c661d60
1541027d7ca
hex26d56d0a0

10424340640 has 48 divisors (see below), whose sum is σ = 28145722752. Its totient is φ = 3574059264.

The previous prime is 10424340637. The next prime is 10424340737. The reversal of 10424340640 is 4604342401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10424340599 and 10424340608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4652604 + ... + 4654843.

It is an arithmetic number, because the mean of its divisors is an integer number (586369224).

Almost surely, 210424340640 is an apocalyptic number.

10424340640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424340640 is an abundant number, since it is smaller than the sum of its proper divisors (17721382112).

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

10424340640 is an equidigital number, since it uses as much as digits as its factorization.

10424340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307469 (or 9307461 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 10424340640 in words is "ten billion, four hundred twenty-four million, three hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 9307447 18614894 37229788 46537235 65152129 74459576 93074470 130304258 148919152 186148940 260608516 297838304 325760645 372297880 521217032 651521290 744595760 1042434064 1303042580 1489191520 2084868128 2606085160 5212170320 10424340640