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725763140 = 2251937411259
BaseRepresentation
bin101011010000100…
…100010001000100
31212120122120212022
4223100210101010
52441243410030
6200003342312
723661612344
oct5320442104
91776576768
10725763140
11342746653
12183081998
13b748ca5b
146c562d24
1543ab0de5
hex2b424444

725763140 has 96 divisors (see below), whose sum is σ = 1689206400. Its totient is φ = 260858880.

The previous prime is 725763119. The next prime is 725763191. The reversal of 725763140 is 41367527.

It is a self number, because there is not a number n which added to its sum of digits gives 725763140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575831 + ... + 577089.

It is an arithmetic number, because the mean of its divisors is an integer number (17595900).

Almost surely, 2725763140 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 725763140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844603200).

725763140 is an abundant number, since it is smaller than the sum of its proper divisors (963443260).

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

725763140 is a wasteful number, since it uses less digits than its factorization.

725763140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 725763140 is about 26939.9914625079. The cubic root of 725763140 is about 898.6659824883.

The spelling of 725763140 in words is "seven hundred twenty-five million, seven hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 41 74 76 82 95 148 164 185 190 205 370 380 410 703 740 779 820 1259 1406 1517 1558 2518 2812 3034 3116 3515 3895 5036 6068 6295 7030 7585 7790 12590 14060 15170 15580 23921 25180 28823 30340 46583 47842 51619 57646 93166 95684 103238 115292 119605 144115 186332 206476 232915 239210 258095 288230 465830 478420 516190 576460 885077 931660 980761 1032380 1770154 1909903 1961522 3540308 3819806 3923044 4425385 4903805 7639612 8850770 9549515 9807610 17701540 19099030 19615220 36288157 38198060 72576314 145152628 181440785 362881570 725763140