Search a number
-
+
10543392 = 253312203
BaseRepresentation
bin101000001110…
…000100100000
3201211122211000
4220032010200
510144342032
61013552000
7155421516
oct50160440
921748730
1010543392
115a51452
123645600
132251cc2
1415864b6
15dd3e7c
hexa0e120

10543392 has 48 divisors (see below), whose sum is σ = 30754080. Its totient is φ = 3514176.

The previous prime is 10543387. The next prime is 10543399. The reversal of 10543392 is 29334501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105433922 = 222326229731328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10543399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5238 + ... + 6965.

It is an arithmetic number, because the mean of its divisors is an integer number (640710).

Almost surely, 210543392 is an apocalyptic number.

10543392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10543392 is an abundant number, since it is smaller than the sum of its proper divisors (20210688).

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

10543392 is a wasteful number, since it uses less digits than its factorization.

10543392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222 (or 12208 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 10543392 is about 3247.0589769821. The cubic root of 10543392 is about 219.2771870176.

Adding to 10543392 its reverse (29334501), we get a palindrome (39877893).

The spelling of 10543392 in words is "ten million, five hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 12203 24406 36609 48812 73218 97624 109827 146436 195248 219654 292872 329481 390496 439308 585744 658962 878616 1171488 1317924 1757232 2635848 3514464 5271696 10543392