Search a number
-
+
2135393736 = 233721995569
BaseRepresentation
bin111111101000111…
…1000010111001000
312111211010020111220
41333101320113020
513333130044421
6551520522040
7103626355500
oct17721702710
95454106456
102135393736
119a6412a13
124b7180320
13280530bb8
14163860a00
15c77093c6
hex7f4785c8

2135393736 has 96 divisors (see below), whose sum is σ = 6536988000. Its totient is φ = 577995264.

The previous prime is 2135393719. The next prime is 2135393747. The reversal of 2135393736 is 6373935312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25441 + ... + 70128.

It is an arithmetic number, because the mean of its divisors is an integer number (68093625).

Almost surely, 22135393736 is an apocalyptic number.

It is an amenable number.

2135393736 is an abundant number, since it is smaller than the sum of its proper divisors (4401594264).

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

2135393736 is a wasteful number, since it uses less digits than its factorization.

2135393736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95611 (or 95600 counting only the distinct ones).

The product of its digits is 306180, while the sum is 42.

The square root of 2135393736 is about 46210.3206654098. The cubic root of 2135393736 is about 1287.7334829775.

The spelling of 2135393736 in words is "two billion, one hundred thirty-five million, three hundred ninety-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 11172 22344 95569 191138 286707 382276 573414 668983 764552 1146828 1337966 1815811 2006949 2293656 2675932 3631622 4013898 4682881 5351864 5447433 7263244 8027796 9365762 10894866 12710677 14048643 14526488 16055592 18731524 21789732 25421354 28097286 37463048 38132031 43579464 50842708 56194572 76264062 88974739 101685416 112389144 152528124 177949478 266924217 305056248 355898956 533848434 711797912 1067696868 2135393736