Search a number
-
+
2790028395 = 345721112781
BaseRepresentation
bin1010011001001100…
…0111010001101011
321012102221010110000
42212103013101223
521203221402040
61140503554043
7126065564400
oct24623072153
97172833400
102790028395
1112019976a0
1265a45b923
1335604859b
141c678a2a7
15114e1a130
hexa64c746b

2790028395 has 120 divisors (see below), whose sum is σ = 6347336688. Its totient is φ = 1159401600.

The previous prime is 2790028379. The next prime is 2790028441. The reversal of 2790028395 is 5938200972.

2790028395 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2790028395 - 24 = 2790028379 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2790028395.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 211905 + ... + 224685.

Almost surely, 22790028395 is an apocalyptic number.

2790028395 is an abundant number, since it is smaller than the sum of its proper divisors (3557308293).

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

2790028395 is a wasteful number, since it uses less digits than its factorization.

2790028395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12823 (or 12807 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2790028395 is about 52820.7193722312. The cubic root of 2790028395 is about 1407.7845924759.

The spelling of 2790028395 in words is "two billion, seven hundred ninety million, twenty-eight thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 81 99 105 135 147 165 189 231 245 297 315 385 405 441 495 539 567 693 735 891 945 1155 1323 1485 1617 2079 2205 2695 2835 3465 3969 4455 4851 6237 6615 8085 10395 12781 14553 19845 24255 31185 38343 43659 63905 72765 89467 115029 140591 191715 218295 268401 345087 421773 447335 575145 626269 702955 805203 984137 1035261 1265319 1342005 1725435 1878807 2108865 2415609 2952411 3131345 3795957 4026015 4920685 5176305 5636421 6326595 6888959 7246827 8857233 9394035 11387871 12078045 14762055 16909263 18979785 20666877 26571699 28182105 34444795 36234135 44286165 50727789 56939355 62000631 79715097 84546315 103334385 132858495 186001893 253638945 310003155 398575485 558005679 930009465 2790028395