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1075936086 = 2321719917669
BaseRepresentation
bin100000000100001…
…0111101101010110
32202222120012211200
41000020113231112
54200414423321
6254433013330
735443206621
oct10010275526
92688505750
101075936086
11502379785
122603b4246
13141ba6894
14a2c76db8
15646d0d26
hex40217b56

1075936086 has 48 divisors (see below), whose sum is σ = 2480868000. Its totient is φ = 335833344.

The previous prime is 1075936073. The next prime is 1075936087. The reversal of 1075936086 is 6806395701.

1075936086 = T26 + T27 + ... + T1861.

It is a happy number.

It is a super-2 number, since 2×10759360862 = 2315276922313998792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075936087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52060 + ... + 69728.

It is an arithmetic number, because the mean of its divisors is an integer number (51684750).

Almost surely, 21075936086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075936086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240434000).

1075936086 is an abundant number, since it is smaller than the sum of its proper divisors (1404931914).

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

1075936086 is a wasteful number, since it uses less digits than its factorization.

1075936086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17893 (or 17890 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1075936086 is about 32801.4646929066. The cubic root of 1075936086 is about 1024.6970624887.

The spelling of 1075936086 in words is "one billion, seventy-five million, nine hundred thirty-six thousand, eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 199 306 398 597 1194 1791 3383 3582 6766 10149 17669 20298 30447 35338 53007 60894 106014 159021 300373 318042 600746 901119 1802238 2703357 3516131 5406714 7032262 10548393 21096786 31645179 59774227 63290358 119548454 179322681 358645362 537968043 1075936086