Search a number
-
+
2109062312 = 237261193457
BaseRepresentation
bin111110110110101…
…1011110010101000
312102222120110120222
41331231123302220
513304404443222
6545140305212
7103156506500
oct17555336250
95388513528
102109062312
11992568805
124aa3a2208
13277c41986
14160168a00
15c5257542
hex7db5bca8

2109062312 has 96 divisors (see below), whose sum is σ = 4710044520. Its totient is φ = 882524160.

The previous prime is 2109062273. The next prime is 2109062317. The reversal of 2109062312 is 2132609012.

It can be written as a sum of positive squares in 4 ways, for example, as 1385775076 + 723287236 = 37226^2 + 26894^2 .

It is not an unprimeable number, because it can be changed into a prime (2109062317) by changing a digit.

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, 4614788 + ... + 4615244.

Almost surely, 22109062312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109062312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355022260).

2109062312 is an abundant number, since it is smaller than the sum of its proper divisors (2600982208).

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

2109062312 is a wasteful number, since it uses less digits than its factorization.

2109062312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2109062312 is about 45924.5284352491. The cubic root of 2109062312 is about 1282.4185863327.

The spelling of 2109062312 in words is "two billion, one hundred nine million, sixty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 193 196 244 386 392 427 457 488 772 854 914 1351 1544 1708 1828 2702 2989 3199 3416 3656 5404 5978 6398 9457 10808 11773 11956 12796 18914 22393 23546 23912 25592 27877 37828 44786 47092 55754 75656 82411 88201 89572 94184 111508 164822 176402 179144 195139 223016 329644 352804 390278 576877 617407 659288 705608 780556 1153754 1234814 1365973 1561112 2307508 2469628 2731946 4321849 4615016 4939256 5380261 5463892 8643698 10760522 10927784 17287396 21521044 34574792 37661827 43042088 75323654 150647308 263632789 301294616 527265578 1054531156 2109062312