Search a number
-
+
2074083936 = 25361354181
BaseRepresentation
bin111101110100000…
…0000001001100000
312100112202101021120
41323220000021200
513221431141221
6541450452240
7102253264641
oct17350001140
95315671246
102074083936
11974847a61
1249a734080
13270915a02
141596616c8
15c21485c6
hex7ba00260

2074083936 has 48 divisors (see below), whose sum is σ = 5533739568. Its totient is φ = 680025600.

The previous prime is 2074083931. The next prime is 2074083967. The reversal of 2074083936 is 6393804702.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074083931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171235 + ... + 182946.

It is an arithmetic number, because the mean of its divisors is an integer number (115286241).

Almost surely, 22074083936 is an apocalyptic number.

It is an amenable number.

2074083936 is an abundant number, since it is smaller than the sum of its proper divisors (3459655632).

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

2074083936 is a wasteful number, since it uses less digits than its factorization.

2074083936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354255 (or 354247 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2074083936 is about 45542.1116769963. Note that the first 3 decimals coincide. The cubic root of 2074083936 is about 1275.2894764483.

The spelling of 2074083936 in words is "two billion, seventy-four million, eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 354181 708362 1062543 1416724 2125086 2833448 4250172 5666896 8500344 11333792 17000688 21605041 34001376 43210082 64815123 86420164 129630246 172840328 259260492 345680656 518520984 691361312 1037041968 2074083936