Search a number
-
+
1995146112 = 27317319859
BaseRepresentation
bin111011011101011…
…1000001110000000
312011001012220221110
41312322320032000
513041224133422
6525550523320
7100304314341
oct16672701600
95131186843
101995146112
11934231893
12478206540
1325a467c3b
1414cd940c8
15ba25460c
hex76eb8380

1995146112 has 128 divisors (see below), whose sum is σ = 5792947200. Its totient is φ = 605675520.

The previous prime is 1995146057. The next prime is 1995146177. The reversal of 1995146112 is 2116415991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197439 + ... + 207297.

It is an arithmetic number, because the mean of its divisors is an integer number (45257400).

Almost surely, 21995146112 is an apocalyptic number.

1995146112 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 1995146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896473600).

1995146112 is an abundant number, since it is smaller than the sum of its proper divisors (3797801088).

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

1995146112 is a wasteful number, since it uses less digits than its factorization.

1995146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9924 (or 9912 counting only the distinct ones).

The product of its digits is 19440, while the sum is 39.

The square root of 1995146112 is about 44667.0584659433. The cubic root of 1995146112 is about 1258.9009716141.

The spelling of 1995146112 in words is "one billion, nine hundred ninety-five million, one hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 272 372 384 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2176 2976 3162 3264 3968 4216 5952 6324 6528 8432 9859 11904 12648 16864 19718 25296 29577 33728 39436 50592 59154 67456 78872 101184 118308 157744 167603 202368 236616 305629 315488 335206 473232 502809 611258 630976 670412 916887 946464 1005618 1222516 1261952 1340824 1833774 1892928 2011236 2445032 2681648 3667548 3785856 4022472 4890064 5195693 5363296 7335096 8044944 9780128 10391386 10726592 14670192 15587079 16089888 19560256 20782772 21453184 29340384 31174158 32179776 39120512 41565544 58680768 62348316 64359552 83131088 117361536 124696632 166262176 249393264 332524352 498786528 665048704 997573056 1995146112