Search a number
-
+
1372288905 = 335132333997
BaseRepresentation
bin101000111001011…
…0111011110001001
310112122012111111000
41101302313132021
510302301221110
6344100525213
746002156201
oct12162673611
93478174430
101372288905
11644691a69
123236b0809
1318b3c8590
14d037b401
158071e1c0
hex51cb7789

1372288905 has 64 divisors (see below), whose sum is σ = 2741598720. Its totient is φ = 646195968.

The previous prime is 1372288871. The next prime is 1372288913. The reversal of 1372288905 is 5098822731.

It is a happy number.

1372288905 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1372288905 - 27 = 1372288777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23367 + ... + 57363.

It is an arithmetic number, because the mean of its divisors is an integer number (42837480).

Almost surely, 21372288905 is an apocalyptic number.

1372288905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1372288905 is a deficient number, since it is larger than the sum of its proper divisors (1369309815).

1372288905 is a wasteful number, since it uses less digits than its factorization.

1372288905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34047 (or 34041 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1372288905 is about 37044.4180005571. The cubic root of 1372288905 is about 1111.2587254789.

The spelling of 1372288905 in words is "one billion, three hundred seventy-two million, two hundred eighty-eight thousand, nine hundred five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 195 207 299 345 351 585 621 897 1035 1495 1755 2691 3105 4485 8073 13455 33997 40365 101991 169985 305973 441961 509955 781931 917919 1325883 1529865 2209805 2345793 3909655 3977649 4589595 6629415 7037379 10165103 11728965 11932947 19888245 21112137 30495309 35186895 50825515 59664735 91485927 105560685 152476545 274457781 457429635 1372288905