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1325240000 = 265474733
BaseRepresentation
bin100111011111101…
…1000111011000000
310102100200011111222
41032333120323000
510203230140000
6335300254212
744561232320
oct11677307300
93370604458
101325240000
11620077477
1230b9a1368
131817344a6
14c8011280
157b528a85
hex4efd8ec0

1325240000 has 140 divisors (see below), whose sum is σ = 3756410064. Its totient is φ = 454272000.

The previous prime is 1325239997. The next prime is 1325240009. The reversal of 1325240000 is 425231.

It is a tau number, because it is divible by the number of its divisors (140).

It is a super-2 number, since 2×13252400002 = 3512522115200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1325240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 277634 + ... + 282366.

Almost surely, 21325240000 is an apocalyptic number.

1325240000 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 1325240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878205032).

1325240000 is an abundant number, since it is smaller than the sum of its proper divisors (2431170064).

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

1325240000 is an frugal number, since it uses more digits than its factorization.

1325240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1325240000 is about 36403.8459506685. The cubic root of 1325240000 is about 1098.4109286571.

Adding to 1325240000 its reverse (425231), we get a palindrome (1325665231).

The spelling of 1325240000 in words is "one billion, three hundred twenty-five million, two hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 4733 5000 5600 7000 8000 8750 9466 10000 11200 14000 17500 18932 20000 23665 28000 33131 35000 37864 40000 47330 56000 66262 70000 75728 94660 118325 132524 140000 151456 165655 189320 236650 265048 280000 302912 331310 378640 473300 530096 591625 662620 757280 828275 946600 1060192 1183250 1325240 1514560 1656550 1893200 2120384 2366500 2650480 2958125 3313100 3786400 4141375 4733000 5300960 5916250 6626200 7572800 8282750 9466000 10601920 11832500 13252400 16565500 18932000 20706875 23665000 26504800 33131000 37864000 41413750 47330000 53009600 66262000 82827500 94660000 132524000 165655000 189320000 265048000 331310000 662620000 1325240000