Search a number
-
+
1768868990 = 257313722031
BaseRepresentation
bin110100101101110…
…1100110001111110
311120021102212002022
41221123230301332
512110312301430
6451305000142
761556065310
oct15133546176
94507385068
101768868990
118285314a9
12414483052
13222610355
1412acd17b0
15a54594e5
hex696ecc7e

1768868990 has 64 divisors (see below), whose sum is σ = 3857891328. Its totient is φ = 571017600.

The previous prime is 1768868987. The next prime is 1768868999. The reversal of 1768868990 is 998688671.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768868999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69275 + ... + 91305.

It is an arithmetic number, because the mean of its divisors is an integer number (60279552).

Almost surely, 21768868990 is an apocalyptic number.

1768868990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1768868990 is an abundant number, since it is smaller than the sum of its proper divisors (2089022338).

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

1768868990 is a wasteful number, since it uses less digits than its factorization.

1768868990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22113.

The product of its (nonzero) digits is 10450944, while the sum is 62.

The square root of 1768868990 is about 42057.9242236228. The cubic root of 1768868990 is about 1209.3867962758.

The spelling of 1768868990 in words is "one billion, seven hundred sixty-eight million, eight hundred sixty-eight thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 14 31 35 37 62 70 74 155 185 217 259 310 370 434 518 1085 1147 1295 2170 2294 2590 5735 8029 11470 16058 22031 40145 44062 80290 110155 154217 220310 308434 682961 771085 815147 1365922 1542170 1630294 3414805 4075735 4780727 5706029 6829610 8151470 9561454 11412058 23903635 25269557 28530145 47807270 50539114 57060290 126347785 176886899 252695570 353773798 884434495 1768868990