Search a number
-
+
2780075328 = 263127911321
BaseRepresentation
bin1010010110110100…
…1001010101000000
321011202012110101220
42211231021111000
521143144402303
61135510355040
7125615151612
oct24555112500
97152173356
102780075328
1111a7309818
1265705ba80
13353c721b4
141c5318db2
15114101053
hexa5b49540

2780075328 has 56 divisors (see below), whose sum is σ = 7362017280. Its totient is φ = 925885440.

The previous prime is 2780075317. The next prime is 2780075341. The reversal of 2780075328 is 8235700872.

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 self number, because there is not a number n which added to its sum of digits gives 2780075328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239908 + ... + 251228.

Almost surely, 22780075328 is an apocalyptic number.

It is an amenable number.

2780075328 is an abundant number, since it is smaller than the sum of its proper divisors (4581941952).

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

2780075328 is a wasteful number, since it uses less digits than its factorization.

2780075328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12615 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 2780075328 is about 52726.4196394938. The cubic root of 2780075328 is about 1406.1085678126.

The spelling of 2780075328 in words is "two billion, seven hundred eighty million, seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1279 2558 3837 5116 7674 10232 11321 15348 20464 22642 30696 33963 40928 45284 61392 67926 81856 90568 122784 135852 181136 245568 271704 362272 543408 724544 1086816 2173632 14479559 28959118 43438677 57918236 86877354 115836472 173754708 231672944 347509416 463345888 695018832 926691776 1390037664 2780075328