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1325670000 = 2435444189
BaseRepresentation
bin100111100000100…
…0001111001110000
310102101111000100220
41033001001321300
510203332420000
6335313413040
744565003054
oct11701017160
93371430326
101325670000
11620340546
1230bb6a180
13181855125
14c80c3c64
157b5b11a0
hex4f041e70

1325670000 has 100 divisors (see below), whose sum is σ = 4279536360. Its totient is φ = 353504000.

The previous prime is 1325669987. The next prime is 1325670037. The reversal of 1325670000 is 765231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7906 + ... + 52094.

Almost surely, 21325670000 is an apocalyptic number.

1325670000 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 1325670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139768180).

1325670000 is an abundant number, since it is smaller than the sum of its proper divisors (2953866360).

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

1325670000 is an equidigital number, since it uses as much as digits as its factorization.

1325670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44220 (or 44199 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 1325670000 is about 36409.7514410631. The cubic root of 1325670000 is about 1098.5297161030.

The spelling of 1325670000 in words is "one billion, three hundred twenty-five million, six hundred seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 44189 88378 132567 176756 220945 265134 353512 441890 530268 662835 707024 883780 1060536 1104725 1325670 1767560 2121072 2209450 2651340 3314175 3535120 4418900 5302680 5523625 6628350 8837800 10605360 11047250 13256700 16570875 17675600 22094500 26513400 27618125 33141750 44189000 53026800 55236250 66283500 82854375 88378000 110472500 132567000 165708750 220945000 265134000 331417500 441890000 662835000 1325670000