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725798970 = 2325133120011
BaseRepresentation
bin101011010000101…
…101000000111010
31212120201102000100
4223100231000322
52441301031340
6200004220230
723662121661
oct5320550072
91776642010
10725798970
11342770566
1218309a676
13b74a3160
146c571dd8
1543abb830
hex2b42d03a

725798970 has 96 divisors (see below), whose sum is σ = 2097897984. Its totient is φ = 172886400.

The previous prime is 725798951. The next prime is 725798977. The reversal of 725798970 is 79897527.

It is not an unprimeable number, because it can be changed into a prime (725798977) 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 47 ways as a sum of consecutive naturals, for example, 26265 + ... + 46275.

It is an arithmetic number, because the mean of its divisors is an integer number (21853104).

Almost surely, 2725798970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725798970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048948992).

725798970 is an abundant number, since it is smaller than the sum of its proper divisors (1372099014).

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

725798970 is a wasteful number, since it uses less digits than its factorization.

725798970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20068 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 725798970 is about 26940.6564507994. The cubic root of 725798970 is about 898.6807709092.

The spelling of 725798970 in words is "seven hundred twenty-five million, seven hundred ninety-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 6045 7254 12090 18135 20011 36270 40022 60033 100055 120066 180099 200110 260143 300165 360198 520286 600330 620341 780429 900495 1240682 1300715 1560858 1800990 1861023 2341287 2601430 3101705 3722046 3902145 4682574 5583069 6203410 7804290 8064433 9305115 11166138 11706435 16128866 18610230 23412870 24193299 27915345 40322165 48386598 55830690 72579897 80644330 120966495 145159794 241932990 362899485 725798970