Search a number
-
+
1995313100 = 2252112962549
BaseRepresentation
bin111011011101110…
…0000111111001100
312011001112102000012
41312323200333030
513041300004400
6525554252352
7100305611234
oct16673407714
95131472005
101995313100
119343362a0
124782870b8
1325a4c5c51
1414cdd8cc4
15ba288d35
hex76ee0fcc

1995313100 has 72 divisors (see below), whose sum is σ = 4886406000. Its totient is φ = 700537600.

The previous prime is 1995313079. The next prime is 1995313127. The reversal of 1995313100 is 13135991.

It is a happy number.

It is a super-2 number, since 2×19953131002 = 7962548734063220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626 + ... + 63174.

It is an arithmetic number, because the mean of its divisors is an integer number (67866750).

Almost surely, 21995313100 is an apocalyptic number.

1995313100 is a gapful number since it is divisible by the number (10) 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 1995313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443203000).

1995313100 is an abundant number, since it is smaller than the sum of its proper divisors (2891092900).

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

1995313100 is a wasteful number, since it uses less digits than its factorization.

1995313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62603 (or 62596 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 32.

The square root of 1995313100 is about 44668.9276790925. The cubic root of 1995313100 is about 1258.9360927663.

The spelling of 1995313100 in words is "one billion, nine hundred ninety-five million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 62549 125098 250196 312745 625490 688039 1250980 1376078 1563725 1813921 2752156 3127450 3440195 3627842 6254900 6880390 7255684 9069605 13760780 17200975 18139210 19953131 34401950 36278420 39906262 45348025 68803900 79812524 90696050 99765655 181392100 199531310 399062620 498828275 997656550 1995313100