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1030800096 = 253231263439
BaseRepresentation
bin111101011100001…
…100001011100000
32122211122001220100
4331130030023200
54102341100341
6250141342400
734354441044
oct7534141340
92584561810
101030800096
11489950407
12249267a00
131357323b1
149ac88024
15607673b6
hex3d70c2e0

1030800096 has 144 divisors (see below), whose sum is σ = 3044321280. Its totient is φ = 330497280.

The previous prime is 1030800079. The next prime is 1030800107. The reversal of 1030800096 is 6900080301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2347845 + ... + 2348283.

It is an arithmetic number, because the mean of its divisors is an integer number (21141120).

Almost surely, 21030800096 is an apocalyptic number.

1030800096 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 1030800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522160640).

1030800096 is an abundant number, since it is smaller than the sum of its proper divisors (2013521184).

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

1030800096 is a wasteful number, since it uses less digits than its factorization.

1030800096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1030800096 is about 32106.0756866983. The cubic root of 1030800096 is about 1010.1630609520.

Adding to 1030800096 its reverse (6900080301), we get a palindrome (7930880397).

The spelling of 1030800096 in words is "one billion, thirty million, eight hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 263 279 288 372 439 496 526 558 744 789 878 992 1052 1116 1317 1488 1578 1756 2104 2232 2367 2634 2976 3156 3512 3951 4208 4464 4734 5268 6312 7024 7902 8153 8416 8928 9468 10536 12624 13609 14048 15804 16306 18936 21072 24459 25248 27218 31608 32612 37872 40827 42144 48918 54436 63216 65224 73377 75744 81654 97836 108872 115457 122481 126432 130448 146754 163308 195672 217744 230914 244962 260896 293508 326616 346371 391344 435488 461828 489924 587016 653232 692742 782688 923656 979848 1039113 1174032 1306464 1385484 1847312 1959696 2078226 2348064 2770968 3579167 3694624 3919392 4156452 5541936 7158334 8312904 10737501 11083872 14316668 16625808 21475002 28633336 32212503 33251616 42950004 57266672 64425006 85900008 114533344 128850012 171800016 257700024 343600032 515400048 1030800096