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725107760 = 245136911009
BaseRepresentation
bin101011001110000…
…100010000110000
31212112102021211222
4223032010100300
52441111422020
6155541324212
723653212536
oct5316042060
91775367758
10725107760
11342339213
12182a06668
13b72c0660
146c432156
15439d1b25
hex2b384430

725107760 has 80 divisors (see below), whose sum is σ = 1819987680. Its totient is φ = 267079680.

The previous prime is 725107751. The next prime is 725107769. The reversal of 725107760 is 67701527.

It is an interprime number because it is at equal distance from previous prime (725107751) and next prime (725107769).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7251077602 = 1051562527224435200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 725107760.

It is not an unprimeable number, because it can be changed into a prime (725107769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 718136 + ... + 719144.

It is an arithmetic number, because the mean of its divisors is an integer number (22749846).

Almost surely, 2725107760 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 725107760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909993840).

725107760 is an abundant number, since it is smaller than the sum of its proper divisors (1094879920).

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

725107760 is a wasteful number, since it uses less digits than its factorization.

725107760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The square root of 725107760 is about 26927.8250142859. The cubic root of 725107760 is about 898.3953960065.

The spelling of 725107760 in words is "seven hundred twenty-five million, one hundred seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 691 1009 1040 1382 2018 2764 3455 4036 5045 5528 6910 8072 8983 10090 11056 13117 13820 16144 17966 20180 26234 27640 35932 40360 44915 52468 55280 65585 71864 80720 89830 104936 131170 143728 179660 209872 262340 359320 524680 697219 718640 1049360 1394438 2788876 3486095 5577752 6972190 9063847 11155504 13944380 18127694 27888760 36255388 45319235 55777520 72510776 90638470 145021552 181276940 362553880 725107760