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1074779680 = 25513516721
BaseRepresentation
bin100000000001111…
…1101011000100000
32202220101110112211
41000003331120200
54200120422210
6254352131504
735430322312
oct10003753040
92686343484
101074779680
11501759977
1225bb36b94
13141890410
14a2a557b2
156455338a
hex400fd620

1074779680 has 48 divisors (see below), whose sum is σ = 2734492824. Its totient is φ = 396840960.

The previous prime is 1074779647. The next prime is 1074779681. The reversal of 1074779680 is 869774701.

It can be written as a sum of positive squares in 4 ways, for example, as 574273296 + 500506384 = 23964^2 + 22372^2 .

It is not an unprimeable number, because it can be changed into a prime (1074779681) 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 7 ways as a sum of consecutive naturals, for example, 256281 + ... + 260440.

Almost surely, 21074779680 is an apocalyptic number.

1074779680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074779680 is an abundant number, since it is smaller than the sum of its proper divisors (1659713144).

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

1074779680 is a wasteful number, since it uses less digits than its factorization.

1074779680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516749 (or 516741 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 49.

The square root of 1074779680 is about 32783.8326008415. The cubic root of 1074779680 is about 1024.3298192945.

The spelling of 1074779680 in words is "one billion, seventy-four million, seven hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 516721 1033442 2066884 2583605 4133768 5167210 6717373 8267536 10334420 13434746 16535072 20668840 26869492 33586865 41337680 53738984 67173730 82675360 107477968 134347460 214955936 268694920 537389840 1074779680