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725156720 = 2459064459
BaseRepresentation
bin101011001110010…
…000001101110000
31212112111210000022
4223032100031300
52441120003340
6155542343012
723653505351
oct5316201560
91775453008
10725156720
11342371a82
12182a2aa68
13b7309a22
146c445d28
15439e13b5
hex2b390370

725156720 has 20 divisors (see below), whose sum is σ = 1685989560. Its totient is φ = 290062656.

The previous prime is 725156713. The next prime is 725156723. The reversal of 725156720 is 27651527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×7251567203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725156723) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4532150 + ... + 4532309.

It is an arithmetic number, because the mean of its divisors is an integer number (84299478).

Almost surely, 2725156720 is an apocalyptic number.

It is an amenable number.

725156720 is an abundant number, since it is smaller than the sum of its proper divisors (960832840).

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

725156720 is a wasteful number, since it uses less digits than its factorization.

725156720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064472 (or 9064466 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 725156720 is about 26928.7340957573. The cubic root of 725156720 is about 898.4156157361.

The spelling of 725156720 in words is "seven hundred twenty-five million, one hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 9064459 18128918 36257836 45322295 72515672 90644590 145031344 181289180 362578360 725156720