Search a number
-
+
276805696 = 26172931283
BaseRepresentation
bin10000011111111…
…011100001000000
3201021212012000211
4100133323201000
51031330240241
643244523504
76600544456
oct2037734100
9637765024
10276805696
11132282242
1278850594
134546976b
1428a969d6
151947b781
hex107fb840

276805696 has 112 divisors (see below), whose sum is σ = 623255040. Its totient is φ = 121282560.

The previous prime is 276805693. The next prime is 276805703. The reversal of 276805696 is 696508672.

It is a happy number.

276805696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (276805691) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 977971 + ... + 978253.

Almost surely, 2276805696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276805696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311627520).

276805696 is an abundant number, since it is smaller than the sum of its proper divisors (346449344).

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

276805696 is a wasteful number, since it uses less digits than its factorization.

276805696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 276805696 is about 16637.4786551328. The cubic root of 276805696 is about 651.7159363270.

The spelling of 276805696 in words is "two hundred seventy-six million, eight hundred five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 29 31 32 34 58 62 64 68 116 124 136 232 248 272 283 464 493 496 527 544 566 899 928 986 992 1054 1088 1132 1798 1856 1972 1984 2108 2264 3596 3944 4216 4528 4811 7192 7888 8207 8432 8773 9056 9622 14384 15283 15776 16414 16864 17546 18112 19244 28768 30566 31552 32828 33728 35092 38488 57536 61132 65656 70184 76976 122264 131312 139519 140368 149141 153952 244528 254417 262624 279038 280736 298282 307904 489056 508834 525248 558076 561472 596564 978112 1017668 1116152 1193128 2035336 2232304 2386256 4070672 4325089 4464608 4772512 8141344 8650178 8929216 9545024 16282688 17300356 34600712 69201424 138402848 276805696