Search a number
-
+
712108032 = 2113115903
BaseRepresentation
bin101010011100011…
…110100000000000
31211121221211120120
4222130132200000
52424244424112
6154354540240
723434550466
oct5234364000
91747854516
10712108032
11335a6a339
1217a597680
13b46bb5cc
146a80a836
15427b4e8c
hex2a71e800

712108032 has 48 divisors (see below), whose sum is σ = 1898507520. Its totient is φ = 237367296.

The previous prime is 712107983. The next prime is 712108051. The reversal of 712108032 is 230801217.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 712107993 and 712108011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51808 + ... + 64095.

It is an arithmetic number, because the mean of its divisors is an integer number (39552240).

Almost surely, 2712108032 is an apocalyptic number.

It is an amenable number.

712108032 is an abundant number, since it is smaller than the sum of its proper divisors (1186399488).

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

712108032 is a wasteful number, since it uses less digits than its factorization.

712108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115928 (or 115908 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 712108032 is about 26685.3523866559. The cubic root of 712108032 is about 892.9941793181.

Adding to 712108032 its reverse (230801217), we get a palindrome (942909249).

The spelling of 712108032 in words is "seven hundred twelve million, one hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 115903 231806 347709 463612 695418 927224 1390836 1854448 2781672 3708896 5563344 7417792 11126688 14835584 22253376 29671168 44506752 59342336 89013504 118684672 178027008 237369344 356054016 712108032