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1355386905 = 33514396977
BaseRepresentation
bin101000011001001…
…1001000000011001
310111110101210022000
41100302121000121
510233434340110
6342254351213
745405412215
oct12062310031
93443353260
101355386905
11636098274
12319abb509
13187a5b2b2
14cc01b945
157ded11c0
hex50c99019

1355386905 has 32 divisors (see below), whose sum is σ = 2411596800. Its totient is φ = 722267136.

The previous prime is 1355386889. The next prime is 1355386913. The reversal of 1355386905 is 5096835531.

1355386905 is a `hidden beast` number, since 1 + 3 + 553 + 8 + 6 + 90 + 5 = 666.

It is not a de Polignac number, because 1355386905 - 24 = 1355386889 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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190777 + ... + 197753.

It is an arithmetic number, because the mean of its divisors is an integer number (75362400).

Almost surely, 21355386905 is an apocalyptic number.

1355386905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1355386905 is a deficient number, since it is larger than the sum of its proper divisors (1056209895).

1355386905 is a wasteful number, since it uses less digits than its factorization.

1355386905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430 (or 8424 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 1355386905 is about 36815.5796504686. The cubic root of 1355386905 is about 1106.6775377051.

The spelling of 1355386905 in words is "one billion, three hundred fifty-five million, three hundred eighty-six thousand, nine hundred five".

Divisors: 1 3 5 9 15 27 45 135 1439 4317 6977 7195 12951 20931 21585 34885 38853 62793 64755 104655 188379 194265 313965 941895 10039903 30119709 50199515 90359127 150598545 271077381 451795635 1355386905