Search a number
-
+
10326424320 = 28345137727
BaseRepresentation
bin10011001111000000…
…01011101100000000
3222122122222201010000
421213200023230000
5132122031034240
64424403040000
7513620105232
oct114740135400
928578881100
1010326424320
114419aa7483
122002370000
13c8750a864
146dd654252
1540688b430
hex26780bb00

10326424320 has 360 divisors, whose sum is σ = 37270737504. Its totient is φ = 2729852928.

The previous prime is 10326424261. The next prime is 10326424391. The reversal of 10326424320 is 2342462301.

10326424320 is a `hidden beast` number, since 10 + 3 + 2 + 642 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 14203797 + ... + 14204523.

Almost surely, 210326424320 is an apocalyptic number.

10326424320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10326424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18635368752).

10326424320 is an abundant number, since it is smaller than the sum of its proper divisors (26944313184).

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

10326424320 is an equidigital number, since it uses as much as digits as its factorization.

10326424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10326424320 its reverse (2342462301), we get a palindrome (12668886621).

The spelling of 10326424320 in words is "ten billion, three hundred twenty-six million, four hundred twenty-four thousand, three hundred twenty".