Search a number
-
+
1261309056 = 2737469237
BaseRepresentation
bin100101100101110…
…0000110010000000
310020220101010202020
41023023200302000
510040343342211
6325054121440
743153643610
oct11313406200
93226333666
101261309056
11597a81187
122b24b0280
1317140c227
14bd72ca40
1575aeb306
hex4b2e0c80

1261309056 has 64 divisors (see below), whose sum is σ = 3828982080. Its totient is φ = 360373248.

The previous prime is 1261309039. The next prime is 1261309069. The reversal of 1261309056 is 6509031621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12613090562 = 3181801069495222272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231931 + ... + 237306.

It is an arithmetic number, because the mean of its divisors is an integer number (59827845).

Almost surely, 21261309056 is an apocalyptic number.

1261309056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1261309056 is an abundant number, since it is smaller than the sum of its proper divisors (2567673024).

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

1261309056 is an equidigital number, since it uses as much as digits as its factorization.

1261309056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469261 (or 469249 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1261309056 is about 35514.9131492673. The cubic root of 1261309056 is about 1080.4562132950.

The spelling of 1261309056 in words is "one billion, two hundred sixty-one million, three hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 469237 938474 1407711 1876948 2815422 3284659 3753896 5630844 6569318 7507792 9853977 11261688 13138636 15015584 19707954 22523376 26277272 30031168 39415908 45046752 52554544 60062336 78831816 90093504 105109088 157663632 180187008 210218176 315327264 420436352 630654528 1261309056