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1325706144 = 25371972777
BaseRepresentation
bin100111100000100…
…1010101110100000
310102101112211221120
41033001022232200
510203340044034
6335314252240
744565213330
oct11701125640
93371484846
101325706144
11620365714
1230bb87080
13181868709
14c80d30c0
157b5bbc49
hex4f04aba0

1325706144 has 48 divisors (see below), whose sum is σ = 3977120448. Its totient is φ = 378772992.

The previous prime is 1325706113. The next prime is 1325706149. The reversal of 1325706144 is 4416075231.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1325706149) by changing a digit.

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, 985717 + ... + 987060.

It is an arithmetic number, because the mean of its divisors is an integer number (82856676).

Almost surely, 21325706144 is an apocalyptic number.

1325706144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1325706144 is an abundant number, since it is smaller than the sum of its proper divisors (2651414304).

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

1325706144 is a wasteful number, since it uses less digits than its factorization.

1325706144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972797 (or 1972789 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1325706144 is about 36410.2477882258. The cubic root of 1325706144 is about 1098.5396997080.

The spelling of 1325706144 in words is "one billion, three hundred twenty-five million, seven hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1972777 3945554 5918331 7891108 11836662 13809439 15782216 23673324 27618878 31564432 41428317 47346648 55237756 63128864 82856634 94693296 110475512 165713268 189386592 220951024 331426536 441902048 662853072 1325706144