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95828130 = 2335311072
BaseRepresentation
bin1011011011000…
…11100010100010
320200022120111000
411231203202202
5144013000010
613301532430
72242345206
oct555434242
9220276430
1095828130
114a102102
1228114116
1316b12948
14ca26b06
15862d7c0
hex5b638a2

95828130 has 96 divisors (see below), whose sum is σ = 266273280. Its totient is φ = 24498720.

The previous prime is 95828087. The next prime is 95828137. The reversal of 95828130 is 3182859.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (95828137) by changing a digit.

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, 895537 + ... + 895643.

It is an arithmetic number, because the mean of its divisors is an integer number (2773680).

Almost surely, 295828130 is an apocalyptic number.

95828130 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 95828130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

95828130 is an abundant number, since it is smaller than the sum of its proper divisors (170445150).

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

95828130 is a wasteful number, since it uses less digits than its factorization.

95828130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 95828130 is about 9789.1843378292. The cubic root of 95828130 is about 457.6122809606.

The spelling of 95828130 in words is "ninety-five million, eight hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 107 135 155 186 214 270 279 310 321 465 535 558 642 837 930 963 1070 1395 1605 1674 1926 2790 2889 3210 3317 4185 4815 5778 6634 8370 9630 9951 11449 14445 16585 19902 22898 28890 29853 33170 34347 49755 57245 59706 68694 89559 99510 103041 114490 149265 171735 179118 206082 298530 309123 343470 354919 447795 515205 618246 709838 895590 1030410 1064757 1545615 1774595 2129514 3091230 3194271 3549190 5323785 6388542 9582813 10647570 15971355 19165626 31942710 47914065 95828130