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1768428680 = 235161327409
BaseRepresentation
bin110100101101000…
…0001010010001000
311120020121111002112
41221122001102020
512110204204210
6451251321452
761552252514
oct15132012210
94506544075
101768428680
11828260707
124142b0288
132224b7b05
1412ac19144
15a53bdd05
hex69681488

1768428680 has 32 divisors (see below), whose sum is σ = 3981576600. Its totient is φ = 706907136.

The previous prime is 1768428661. The next prime is 1768428703. The reversal of 1768428680 is 868248671.

It can be written as a sum of positive squares in 4 ways, for example, as 1043419204 + 725009476 = 32302^2 + 26926^2 .

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 7 ways as a sum of consecutive naturals, for example, 50816 + ... + 78224.

Almost surely, 21768428680 is an apocalyptic number.

1768428680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1768428680 is an abundant number, since it is smaller than the sum of its proper divisors (2213147920).

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

1768428680 is a wasteful number, since it uses less digits than its factorization.

1768428680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29033 (or 29029 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The square root of 1768428680 is about 42052.6893313614. The cubic root of 1768428680 is about 1209.2864403811.

Subtracting from 1768428680 its reverse (868248671), we obtain a square (900180009 = 300032).

It can be divided in two parts, 17684 and 28680, that added together give a palindrome (46364).

The spelling of 1768428680 in words is "one billion, seven hundred sixty-eight million, four hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 1613 3226 6452 8065 12904 16130 27409 32260 54818 64520 109636 137045 219272 274090 548180 1096360 44210717 88421434 176842868 221053585 353685736 442107170 884214340 1768428680