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1326000096 = 25324797961
BaseRepresentation
bin100111100001001…
…0010011111100000
310102102002210011200
41033002102133200
510203424000341
6335324441200
744600546331
oct11702223740
93372083150
101326000096
11620546553
123100a9200
1318193c455
14c816c288
157b628db6
hex4f0927e0

1326000096 has 72 divisors (see below), whose sum is σ = 3851082144. Its totient is φ = 432591360.

The previous prime is 1326000077. The next prime is 1326000097. The reversal of 1326000096 is 6900006231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326000097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35445 + ... + 62516.

It is an arithmetic number, because the mean of its divisors is an integer number (53487252).

Almost surely, 21326000096 is an apocalyptic number.

1326000096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1326000096 is an abundant number, since it is smaller than the sum of its proper divisors (2525082048).

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

1326000096 is a wasteful number, since it uses less digits than its factorization.

1326000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98024 (or 98013 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1326000096 is about 36414.2842302303. The cubic root of 1326000096 is about 1098.6208876543.

The spelling of 1326000096 in words is "one billion, three hundred twenty-six million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 97961 195922 293883 391844 587766 783688 881649 1175532 1567376 1763298 2351064 3134752 3526596 4604167 4702128 7053192 9208334 9404256 13812501 14106384 18416668 27625002 28212768 36833336 41437503 55250004 73666672 82875006 110500008 147333344 165750012 221000016 331500024 442000032 663000048 1326000096