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725160320 = 2752235081
BaseRepresentation
bin101011001110010…
…001000110000000
31212112111221221122
4223032101012000
52441120112240
6155542411412
723653522013
oct5316210600
91775457848
10725160320
11342374755
12182a30b68
13b730b561
146c44737a
15439e24b5
hex2b391180

725160320 has 64 divisors (see below), whose sum is σ = 1741703040. Its totient is φ = 288706560.

The previous prime is 725160311. The next prime is 725160377. The reversal of 725160320 is 23061527.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 725160320.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 140180 + ... + 145260.

It is an arithmetic number, because the mean of its divisors is an integer number (27214110).

Almost surely, 2725160320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870851520).

725160320 is an abundant number, since it is smaller than the sum of its proper divisors (1016542720).

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

725160320 is a wasteful number, since it uses less digits than its factorization.

725160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 725160320 is about 26928.8009387719. The cubic root of 725160320 is about 898.4171024450.

The spelling of 725160320 in words is "seven hundred twenty-five million, one hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 223 320 446 640 892 1115 1784 2230 3568 4460 5081 7136 8920 10162 14272 17840 20324 25405 28544 35680 40648 50810 71360 81296 101620 142720 162592 203240 325184 406480 650368 812960 1133063 1625920 2266126 3251840 4532252 5665315 9064504 11330630 18129008 22661260 36258016 45322520 72516032 90645040 145032064 181290080 362580160 725160320