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1325636032 = 2673737933
BaseRepresentation
bin100111100000011…
…1001100111000000
310102101102021202211
41033000321213000
510203330323112
6335312551504
744564502040
oct11700714700
93371367684
101325636032
11620317a76
1230bb52594
13181842826
14c80b5720
157b5a60a7
hex4f0399c0

1325636032 has 56 divisors (see below), whose sum is σ = 3014793056. Its totient is φ = 566535168.

The previous prime is 1325636021. The next prime is 1325636041. The reversal of 1325636032 is 2306365231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 1325635985 and 1325636003.

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 7 ways as a sum of consecutive naturals, for example, 163138 + ... + 171070.

Almost surely, 21325636032 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 1325636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507396528).

1325636032 is an abundant number, since it is smaller than the sum of its proper divisors (1689157024).

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

1325636032 is an equidigital number, since it uses as much as digits as its factorization.

1325636032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 1325636032 is about 36409.2849696338. The cubic root of 1325636032 is about 1098.5203333817.

The spelling of 1325636032 in words is "one billion, three hundred twenty-five million, six hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 373 448 746 1492 2611 2984 5222 5968 7933 10444 11936 15866 20888 23872 31732 41776 55531 63464 83552 111062 126928 167104 222124 253856 444248 507712 888496 1776992 2959009 3553984 5918018 11836036 20713063 23672072 41426126 47344144 82852252 94688288 165704504 189376576 331409008 662818016 1325636032