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1035000096 = 253132693083
BaseRepresentation
bin111101101100001…
…101100100100000
32200010112110012220
4331230031210200
54104430000341
6250411351040
734435232664
oct7554154440
92603473186
101035000096
11491259989
1224a752480
13136572cc0
149b65c8a4
1560ce6a66
hex3db0d920

1035000096 has 96 divisors (see below), whose sum is σ = 2937695040. Its totient is φ = 317174784.

The previous prime is 1035000073. The next prime is 1035000107. The reversal of 1035000096 is 6900005301.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334171 + ... + 337253.

It is an arithmetic number, because the mean of its divisors is an integer number (30600990).

Almost surely, 21035000096 is an apocalyptic number.

1035000096 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 1035000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468847520).

1035000096 is an abundant number, since it is smaller than the sum of its proper divisors (1902694944).

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

1035000096 is a wasteful number, since it uses less digits than its factorization.

1035000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 1035000096 is about 32171.4173762985. The cubic root of 1035000096 is about 1011.5331732239.

Adding to 1035000096 its reverse (6900005301), we get a palindrome (7935005397).

The spelling of 1035000096 in words is "one billion, thirty-five million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 269 312 416 538 624 807 1076 1248 1614 2152 3083 3228 3497 4304 6166 6456 6994 8608 9249 10491 12332 12912 13988 18498 20982 24664 25824 27976 36996 40079 41964 49328 55952 73992 80158 83928 98656 111904 120237 147984 160316 167856 240474 295968 320632 335712 480948 641264 829327 961896 1282528 1658654 1923792 2487981 3317308 3847584 4975962 6634616 9951924 10781251 13269232 19903848 21562502 26538464 32343753 39807696 43125004 64687506 79615392 86250008 129375012 172500016 258750024 345000032 517500048 1035000096