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1000000096 = 251910391583
BaseRepresentation
bin111011100110101…
…100101001100000
32120200200021020121
4323212230221200
54022000000341
6243121250024
733531601114
oct7346545140
92520607217
101000000096
11473523967
1223aa93914
1312c23a244
1496b4b744
155cbd14d1
hex3b9aca60

1000000096 has 48 divisors (see below), whose sum is σ = 2075673600. Its totient is φ = 472929408.

The previous prime is 1000000093. The next prime is 1000000097. The reversal of 1000000096 is 6900000001.

1000000096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000000093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630921 + ... + 632503.

It is an arithmetic number, because the mean of its divisors is an integer number (43243200).

Almost surely, 21000000096 is an apocalyptic number.

1000000096 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 1000000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

1000000096 is an abundant number, since it is smaller than the sum of its proper divisors (1075673504).

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

1000000096 is a wasteful number, since it uses less digits than its factorization.

1000000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1000000096 is about 31622.7781195770. The cubic root of 1000000096 is about 1000.0000320000. Note that the first 4 decimals are identical.

Adding to 1000000096 its reverse (6900000001), we get a palindrome (7900000097).

The spelling of 1000000096 in words is "one billion, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1039 1583 2078 3166 4156 6332 8312 12664 16624 19741 25328 30077 33248 39482 50656 60154 78964 120308 157928 240616 315856 481232 631712 962464 1644737 3289474 6578948 13157896 26315792 31250003 52631584 62500006 125000012 250000024 500000048 1000000096