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19953945 = 355111493
BaseRepresentation
bin100110000011…
…1100100011001
31101112202200000
41030013210121
520102011240
61551403213
7331414524
oct114074431
941482600
1019953945
1110299770
126823509
13419848b
142915bbb
151b42430
hex1307919

19953945 has 48 divisors (see below), whose sum is σ = 39154752. Its totient is φ = 9668160.

The previous prime is 19953919. The next prime is 19953953. The reversal of 19953945 is 54935991.

It is a happy number.

It is not a de Polignac number, because 19953945 - 210 = 19952921 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19953945.

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 47 ways as a sum of consecutive naturals, for example, 12619 + ... + 14111.

It is an arithmetic number, because the mean of its divisors is an integer number (815724).

Almost surely, 219953945 is an apocalyptic number.

19953945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19953945 is a deficient number, since it is larger than the sum of its proper divisors (19200807).

19953945 is a wasteful number, since it uses less digits than its factorization.

19953945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1512 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 19953945 is about 4466.9838817708. The cubic root of 19953945 is about 271.2332473532.

The spelling of 19953945 in words is "nineteen million, nine hundred fifty-three thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 891 1215 1485 1493 2673 4455 4479 7465 13365 13437 16423 22395 40311 49269 67185 82115 120933 147807 201555 246345 362799 443421 604665 739035 1330263 1813995 2217105 3990789 6651315 19953945