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1325365020 = 2232576311667
BaseRepresentation
bin100111011111111…
…0111011100011100
310102100220112000100
41032333313130130
510203243140040
6335303101100
744562262650
oct11677673434
93370815010
101325365020
116201523a1
1230ba41790
13181779375
14c8044a60
157b550b30
hex4eff771c

1325365020 has 144 divisors (see below), whose sum is σ = 4604640768. Its totient is φ = 302279040.

The previous prime is 1325364973. The next prime is 1325365037. The reversal of 1325365020 is 205635231.

1325365020 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 3 + 650 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 794227 + ... + 795893.

It is an arithmetic number, because the mean of its divisors is an integer number (31976672).

Almost surely, 21325365020 is an apocalyptic number.

1325365020 is a gapful number since it is divisible by the number (10) 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 1325365020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302320384).

1325365020 is an abundant number, since it is smaller than the sum of its proper divisors (3279275748).

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

1325365020 is a wasteful number, since it uses less digits than its factorization.

1325365020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1325365020 is about 36405.5630364372. The cubic root of 1325365020 is about 1098.4454680653.

The spelling of 1325365020 in words is "one billion, three hundred twenty-five million, three hundred sixty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 631 1260 1262 1667 1893 2524 3155 3334 3786 4417 5001 5679 6310 6668 7572 8335 8834 9465 10002 11358 11669 12620 13251 15003 16670 17668 18930 20004 22085 22716 23338 25005 26502 28395 30006 33340 35007 37860 39753 44170 46676 50010 53004 56790 58345 60012 66255 70014 75015 79506 88340 100020 105021 113580 116690 132510 140028 150030 159012 175035 198765 210042 233380 265020 300060 350070 397530 420084 525105 700140 795060 1050210 1051877 2100420 2103754 3155631 4207508 5259385 6311262 7363139 9466893 10518770 12622524 14726278 15778155 18933786 21037540 22089417 29452556 31556310 36815695 37867572 44178834 47334465 63112620 66268251 73631390 88357668 94668930 110447085 132536502 147262780 189337860 220894170 265073004 331341255 441788340 662682510 1325365020