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1995000312 = 2332331111621
BaseRepresentation
bin111011011101001…
…0100100111111000
312011000221111221110
41312322110213320
513041210002222
6525543440320
7100303136304
oct16672244770
95130844843
101995000312
11934142298
124781560a0
1325a416776
1414cd56d04
15ba22630c
hex76e949f8

1995000312 has 64 divisors (see below), whose sum is σ = 5221532160. Its totient is φ = 633987200.

The previous prime is 1995000253. The next prime is 1995000313. The reversal of 1995000312 is 2130005991.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1995000312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995000313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165862 + ... + 177482.

It is an arithmetic number, because the mean of its divisors is an integer number (81586440).

Almost surely, 21995000312 is an apocalyptic number.

1995000312 is a gapful number since it is divisible by the number (12) 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 1995000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610766080).

1995000312 is an abundant number, since it is smaller than the sum of its proper divisors (3226531848).

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

1995000312 is a wasteful number, since it uses less digits than its factorization.

1995000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11964 (or 11960 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 1995000312 is about 44665.4263608890. The cubic root of 1995000312 is about 1258.8703051495.

The spelling of 1995000312 in words is "one billion, nine hundred ninety-five million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 311 552 622 933 1244 1866 2488 3732 7153 7464 11621 14306 21459 23242 28612 34863 42918 46484 57224 69726 85836 92968 139452 171672 267283 278904 534566 801849 1069132 1603698 2138264 3207396 3614131 6414792 7228262 10842393 14456524 21684786 28913048 43369572 83125013 86739144 166250026 249375039 332500052 498750078 665000104 997500156 1995000312