Search a number
-
+
1979505 = 335113143
BaseRepresentation
bin111100011010001110001
310201120101000
413203101301
51001321010
6110232213
722553103
oct7432161
93646330
101979505
111132260
127b5669
13544008
14397573
152917c0
hex1e3471

1979505 has 64 divisors (see below), whose sum is σ = 4055040. Its totient is φ = 907200.

The previous prime is 1979491. The next prime is 1979507. The reversal of 1979505 is 5059791.

It is a happy number.

It is not a de Polignac number, because 1979505 - 24 = 1979489 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1979505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1979507) 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, 46014 + ... + 46056.

It is an arithmetic number, because the mean of its divisors is an integer number (63360).

21979505 is an apocalyptic number.

1979505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1979505 is an abundant number, since it is smaller than the sum of its proper divisors (2075535).

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

1979505 is a wasteful number, since it uses less digits than its factorization.

1979505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 1979505 is about 1406.9488263615. The cubic root of 1979505 is about 125.5602584653.

It can be divided in two parts, 19 and 79505, that added together give a square (79524 = 2822).

The spelling of 1979505 in words is "one million, nine hundred seventy-nine thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 31 33 43 45 55 93 99 129 135 155 165 215 279 297 341 387 465 473 495 645 837 1023 1161 1333 1395 1419 1485 1705 1935 2365 3069 3999 4185 4257 5115 5805 6665 7095 9207 11997 12771 14663 15345 19995 21285 35991 43989 46035 59985 63855 73315 131967 179955 219945 395901 659835 1979505