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96756030 = 232571091409
BaseRepresentation
bin1011100010001…
…10000100111110
320202001201022200
411301012010332
5144232143110
613333452330
72253261360
oct561060476
9222051280
1096756030
114a686268
12284a10a6
13170790b7
14cbc8d30
1587636c0
hex5c4613e

96756030 has 96 divisors (see below), whose sum is σ = 290347200. Its totient is φ = 21897216.

The previous prime is 96756029. The next prime is 96756041. The reversal of 96756030 is 3065769.

It is a happy number.

96756030 is a `hidden beast` number, since 9 + 67 + 560 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67966 + ... + 69374.

It is an arithmetic number, because the mean of its divisors is an integer number (3024450).

Almost surely, 296756030 is an apocalyptic number.

96756030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96756030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145173600).

96756030 is an abundant number, since it is smaller than the sum of its proper divisors (193591170).

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

96756030 is a wasteful number, since it uses less digits than its factorization.

96756030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 96756030 is about 9836.4643038035. The cubic root of 96756030 is about 459.0845530366.

The spelling of 96756030 in words is "ninety-six million, seven hundred fifty-six thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 109 126 210 218 315 327 545 630 654 763 981 1090 1409 1526 1635 1962 2289 2818 3270 3815 4227 4578 4905 6867 7045 7630 8454 9810 9863 11445 12681 13734 14090 19726 21135 22890 25362 29589 34335 42270 49315 59178 63405 68670 88767 98630 126810 147945 153581 177534 295890 307162 443835 460743 767905 887670 921486 1075067 1382229 1535810 2150134 2303715 2764458 3225201 4607430 5375335 6450402 6911145 9675603 10750670 13822290 16126005 19351206 32252010 48378015 96756030