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19918305 = 3451117263
BaseRepresentation
bin100101111111…
…0110111100001
31101110221210000
41023332313201
520044341210
61550530213
7331205601
oct113766741
941427700
1019918305
1110274a10
126806969
1341851a4
142906c01
151b36ac0
hex12fede1

19918305 has 80 divisors (see below), whose sum is σ = 41399424. Its totient is φ = 9054720.

The previous prime is 19918303. The next prime is 19918313. The reversal of 19918305 is 50381991.

It is a happy number.

It is not a de Polignac number, because 19918305 - 21 = 19918303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 19918305.

It is not an unprimeable number, because it can be changed into a prime (19918303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75604 + ... + 75866.

Almost surely, 219918305 is an apocalyptic number.

19918305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19918305 is an abundant number, since it is smaller than the sum of its proper divisors (21481119).

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

19918305 is a wasteful number, since it uses less digits than its factorization.

19918305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 19918305 is about 4462.9928299293. The cubic root of 19918305 is about 271.0716667074.

It can be divided in two parts, 1991 and 8305, that added together give a triangular number (10296 = T143).

The spelling of 19918305 in words is "nineteen million, nine hundred eighteen thousand, three hundred five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 135 153 165 187 255 263 297 405 459 495 561 765 789 891 935 1315 1377 1485 1683 2295 2367 2805 2893 3945 4455 4471 5049 6885 7101 8415 8679 11835 13413 14465 15147 21303 22355 25245 26037 35505 40239 43395 49181 67065 75735 78111 106515 120717 130185 147543 201195 234333 245905 362151 390555 442629 603585 737715 1171665 1327887 1810755 2213145 3983661 6639435 19918305