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1325928096 = 25333134903
BaseRepresentation
bin100111100001000…
…0000111010100000
310102101222010102000
41033002000322200
510203414144341
6335323124000
744600126403
oct11702007240
93371863360
101325928096
116204a7449
12310073600
1318191574c
14c814dd3a
157b6128b6
hex4f080ea0

1325928096 has 96 divisors (see below), whose sum is σ = 3880437120. Its totient is φ = 440474112.

The previous prime is 1325928077. The next prime is 1325928119. The reversal of 1325928096 is 6908295231.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267981 + ... + 272883.

It is an arithmetic number, because the mean of its divisors is an integer number (40421220).

Almost surely, 21325928096 is an apocalyptic number.

1325928096 is a gapful number since it is divisible by the number (16) 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 1325928096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940218560).

1325928096 is an abundant number, since it is smaller than the sum of its proper divisors (2554509024).

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

1325928096 is a wasteful number, since it uses less digits than its factorization.

1325928096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1325928096 is about 36413.2955937800. The cubic root of 1325928096 is about 1098.6010027549.

The spelling of 1325928096 in words is "one billion, three hundred twenty-five million, nine hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 313 432 626 864 939 1252 1878 2504 2817 3756 4903 5008 5634 7512 8451 9806 10016 11268 14709 15024 16902 19612 22536 29418 30048 33804 39224 44127 45072 58836 67608 78448 88254 90144 117672 132381 135216 156896 176508 235344 264762 270432 353016 470688 529524 706032 1059048 1412064 1534639 2118096 3069278 4236192 4603917 6138556 9207834 12277112 13811751 18415668 24554224 27623502 36831336 41435253 49108448 55247004 73662672 82870506 110494008 147325344 165741012 220988016 331482024 441976032 662964048 1325928096