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1768081040 = 245112182653
BaseRepresentation
bin110100101100010…
…1100011010010000
311120012221211012222
41221120230122100
512110112043130
6451240040212
761546304135
oct15130543220
94505854188
101768081040
11828043500
12414163068
132223c57cb
1412ab6858c
15a5350ce5
hex6962c690

1768081040 has 60 divisors (see below), whose sum is σ = 4518494652. Its totient is φ = 642935040.

The previous prime is 1768081033. The next prime is 1768081099. The reversal of 1768081040 is 401808671.

It can be written as a sum of positive squares in 2 ways, for example, as 1353062656 + 415018384 = 36784^2 + 20372^2 .

It is a super-2 number, since 2×17680810402 = 6252221128014963200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81647 + ... + 101006.

Almost surely, 21768081040 is an apocalyptic number.

1768081040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1768081040 is an abundant number, since it is smaller than the sum of its proper divisors (2750413612).

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

1768081040 is a wasteful number, since it uses less digits than its factorization.

1768081040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182688 (or 182671 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 1768081040 is about 42048.5557421417. Note that the first 3 decimals coincide. The cubic root of 1768081040 is about 1209.2071941566.

The spelling of 1768081040 in words is "one billion, seven hundred sixty-eight million, eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 182653 365306 730612 913265 1461224 1826530 2009183 2922448 3653060 4018366 7306120 8036732 10045915 14612240 16073464 20091830 22101013 32146928 40183660 44202026 80367320 88404052 110505065 160734640 176808104 221010130 353616208 442020260 884040520 1768081040