Search a number
-
+
2677545780 = 2235713490393
BaseRepresentation
bin1001111110011000…
…0001101100110100
320220121021102022020
42133212001230310
520440422431110
61121405033140
7123231522630
oct23746015464
96817242266
102677545780
11115444a858
126288557b0
13338954220
141b5869dc0
1510a0ebd70
hex9f981b34

2677545780 has 96 divisors (see below), whose sum is σ = 9227253504. Its totient is φ = 564931584.

The previous prime is 2677545749. The next prime is 2677545817. The reversal of 2677545780 is 875457762.

2677545780 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239737 + ... + 250656.

It is an arithmetic number, because the mean of its divisors is an integer number (96117224).

Almost surely, 22677545780 is an apocalyptic number.

2677545780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2677545780 is an abundant number, since it is smaller than the sum of its proper divisors (6549707724).

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

2677545780 is a wasteful number, since it uses less digits than its factorization.

2677545780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490425 (or 490423 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The square root of 2677545780 is about 51745.0072953903. The cubic root of 2677545780 is about 1388.6057790050.

The spelling of 2677545780 in words is "two billion, six hundred seventy-seven million, five hundred forty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 490393 980786 1471179 1961572 2451965 2942358 3432751 4903930 5884716 6375109 6865502 7355895 9807860 10298253 12750218 13731004 14711790 17163755 19125327 20596506 25500436 29423580 31875545 34327510 38250654 41193012 44625763 51491265 63751090 68655020 76501308 89251526 95626635 102982530 127502180 133877289 178503052 191253270 205965060 223128815 267754578 382506540 446257630 535509156 669386445 892515260 1338772890 2677545780