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1790738064 = 243331133717
BaseRepresentation
bin110101010111100…
…0111111010010000
311121210120220211000
41222233013322100
512131412104224
6453405422000
762243010453
oct15257077220
94553526730
101790738064
11839909015
1241b86a900
13226cc942b
1412db8549a
15a73290c9
hex6abc7e90

1790738064 has 80 divisors (see below), whose sum is σ = 5305930240. Its totient is φ = 577653120.

The previous prime is 1790738063. The next prime is 1790738113. The reversal of 1790738064 is 4608370971.

It is not an unprimeable number, because it can be changed into a prime (1790738063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53467 + ... + 80250.

It is an arithmetic number, because the mean of its divisors is an integer number (66324128).

Almost surely, 21790738064 is an apocalyptic number.

It is an amenable number.

1790738064 is an abundant number, since it is smaller than the sum of its proper divisors (3515192176).

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

1790738064 is a wasteful number, since it uses less digits than its factorization.

1790738064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133765 (or 133753 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1790738064 is about 42317.1131340502. The cubic root of 1790738064 is about 1214.3504041674.

The spelling of 1790738064 in words is "one billion, seven hundred ninety million, seven hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 133717 267434 401151 534868 802302 1069736 1203453 1604604 2139472 2406906 3209208 3610359 4145227 4813812 6418416 7220718 8290454 9627624 12435681 14441436 16580908 19255248 24871362 28882872 33161816 37307043 49742724 57765744 66323632 74614086 99485448 111921129 149228172 198970896 223842258 298456344 447684516 596912688 895369032 1790738064