Search a number
-
+
1949805 = 3351113101
BaseRepresentation
bin111011100000001101101
310200001122000
413130001231
5444343210
6105442513
722400364
oct7340155
93601560
101949805
111111a10
127a0439
13533640
1438a7db
15287ac0
hex1dc06d

1949805 has 64 divisors (see below), whose sum is σ = 4112640. Its totient is φ = 864000.

The previous prime is 1949791. The next prime is 1949809. The reversal of 1949805 is 5089491.

It is not a de Polignac number, because 1949805 - 26 = 1949741 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1949805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949809) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19255 + ... + 19355.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

21949805 is an apocalyptic number.

1949805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1949805 is an abundant number, since it is smaller than the sum of its proper divisors (2162835).

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

1949805 is a wasteful number, since it uses less digits than its factorization.

1949805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1949805 is about 1396.3541814311. The cubic root of 1949805 is about 124.9291331641.

It can be divided in two parts, 194 and 9805, that added together give a palindrome (9999).

The spelling of 1949805 in words is "one million, nine hundred forty-nine thousand, eight hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 101 117 135 143 165 195 297 303 351 429 495 505 585 715 909 1111 1287 1313 1485 1515 1755 2145 2727 3333 3861 3939 4545 5555 6435 6565 9999 11817 13635 14443 16665 19305 19695 29997 35451 43329 49995 59085 72215 129987 149985 177255 216645 389961 649935 1949805