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1075989780 = 2232513743633
BaseRepresentation
bin100000000100010…
…0100110100010100
32202222122221111100
41000020210310110
54200423133110
6254434110100
735443522305
oct10010446424
92688587440
101075989780
11502406058
1226041b330
13141bc5158
14a2c8c7ac
15646e1bc0
hex40224d14

1075989780 has 72 divisors (see below), whose sum is σ = 3287734632. Its totient is φ = 284829696.

The previous prime is 1075989751. The next prime is 1075989781. The reversal of 1075989780 is 879895701.

It can be written as a sum of positive squares in 4 ways, for example, as 367258896 + 708730884 = 19164^2 + 26622^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075989781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2844 + ... + 46476.

It is an arithmetic number, because the mean of its divisors is an integer number (45662981).

Almost surely, 21075989780 is an apocalyptic number.

1075989780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075989780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643867316).

1075989780 is an abundant number, since it is smaller than the sum of its proper divisors (2211744852).

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

1075989780 is a wasteful number, since it uses less digits than its factorization.

1075989780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43785 (or 43780 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The square root of 1075989780 is about 32802.2831522441. The cubic root of 1075989780 is about 1024.7141078534.

The spelling of 1075989780 in words is "one billion, seventy-five million, nine hundred eighty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4110 4932 6165 8220 12330 24660 43633 87266 130899 174532 218165 261798 392697 436330 523596 654495 785394 872660 1308990 1570788 1963485 2617980 3926970 5977721 7853940 11955442 17933163 23910884 29888605 35866326 53799489 59777210 71732652 89665815 107598978 119554420 179331630 215197956 268997445 358663260 537994890 1075989780