Search a number
-
+
10320524232 = 23324112131471
BaseRepresentation
bin10011001110010011…
…01011001111001000
3222122020212221201020
421213021223033020
5132114023233412
64424032352440
7513516002634
oct114711531710
928566787636
1010320524232
114416737677
1220003a5720
13c86223195
146dc959dc4
154060c318c
hex26726b3c8

10320524232 has 64 divisors (see below), whose sum is σ = 25947356160. Its totient is φ = 3420748800.

The previous prime is 10320524197. The next prime is 10320524311. The reversal of 10320524232 is 23242502301.

10320524232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7015257 + ... + 7016727.

It is an arithmetic number, because the mean of its divisors is an integer number (405427440).

Almost surely, 210320524232 is an apocalyptic number.

10320524232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10320524232 is an abundant number, since it is smaller than the sum of its proper divisors (15626831928).

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

10320524232 is a wasteful number, since it uses less digits than its factorization.

10320524232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 10320524232 in words is "ten billion, three hundred twenty million, five hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 241 482 723 964 1213 1446 1471 1928 2426 2892 2942 3639 4413 4852 5784 5884 7278 8826 9704 11768 14556 17652 29112 35304 292333 354511 584666 709022 876999 1063533 1169332 1418044 1753998 1784323 2127066 2338664 2836088 3507996 3568646 4254132 5352969 7015992 7137292 8508264 10705938 14274584 21411876 42823752 430021843 860043686 1290065529 1720087372 2580131058 3440174744 5160262116 10320524232