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2325075760 = 245710738803
BaseRepresentation
bin1000101010010101…
…1101011100110000
320000001001002100001
42022211131130300
514230204411020
61022414235344
7111421550350
oct21245353460
96001032301
102325075760
11a93498917
1254a7b5b54
132b0914997
14180b18b60
15d91c650a
hex8a95d730

2325075760 has 80 divisors (see below), whose sum is σ = 6235958016. Its totient is φ = 789698304.

The previous prime is 2325075757. The next prime is 2325075761. The reversal of 2325075760 is 675705232.

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

It is not an unprimeable number, because it can be changed into a prime (2325075761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40519 + ... + 79321.

Almost surely, 22325075760 is an apocalyptic number.

2325075760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117979008).

2325075760 is an abundant number, since it is smaller than the sum of its proper divisors (3910882256).

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

2325075760 is a wasteful number, since it uses less digits than its factorization.

2325075760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38930 (or 38924 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The square root of 2325075760 is about 48219.0393931692. The cubic root of 2325075760 is about 1324.7859172336.

The spelling of 2325075760 in words is "two billion, three hundred twenty-five million, seventy-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 428 535 560 749 856 1070 1498 1712 2140 2996 3745 4280 5992 7490 8560 11984 14980 29960 38803 59920 77606 155212 194015 271621 310424 388030 543242 620848 776060 1086484 1358105 1552120 2172968 2716210 3104240 4151921 4345936 5432420 8303842 10864840 16607684 20759605 21729680 29063447 33215368 41519210 58126894 66430736 83038420 116253788 145317235 166076840 232507576 290634470 332153680 465015152 581268940 1162537880 2325075760