Search a number
-
+
1072714311 = 321134432381
BaseRepresentation
bin111111111100000…
…101001001000111
32202202111112101200
4333330011021013
54144103324221
6254235553543
735403630654
oct7774051107
92682445350
101072714311
11500579159
1225b2bb8b3
131413192c6
14a2678c2b
1564296426
hex3ff05247

1072714311 has 24 divisors (see below), whose sum is σ = 1567375056. Its totient is φ = 706917120.

The previous prime is 1072714309. The next prime is 1072714337. The reversal of 1072714311 is 1134172701.

It is not a de Polignac number, because 1072714311 - 21 = 1072714309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072714361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449341 + ... + 451721.

It is an arithmetic number, because the mean of its divisors is an integer number (65307294).

Almost surely, 21072714311 is an apocalyptic number.

1072714311 is a deficient number, since it is larger than the sum of its proper divisors (494660745).

1072714311 is a wasteful number, since it uses less digits than its factorization.

1072714311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1072714311 is about 32752.3176431837. The cubic root of 1072714311 is about 1023.6732581671.

The spelling of 1072714311 in words is "one billion, seventy-two million, seven hundred fourteen thousand, three hundred eleven".

Divisors: 1 3 9 113 339 443 1017 1329 2381 3987 7143 21429 50059 150177 269053 450531 807159 1054783 2421477 3164349 9493047 119190479 357571437 1072714311