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1365057690 = 235412274889
BaseRepresentation
bin101000101011101…
…0010000010011010
310112010121010010020
41101113102002122
510243423321230
6343241531310
745553541013
oct12127220232
93463533106
101365057690
116405a3057
123211a3b36
13189a66059
14cd41800a
157ec91810
hex515d209a

1365057690 has 64 divisors (see below), whose sum is σ = 3371518080. Its totient is φ = 353500160.

The previous prime is 1365057647. The next prime is 1365057691. The reversal of 1365057690 is 967505631.

It is a happy number.

It is a super-2 number, since 2×13650576902 = 3726764994056272200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1365057691) 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 31 ways as a sum of consecutive naturals, for example, 276766 + ... + 281654.

It is an arithmetic number, because the mean of its divisors is an integer number (52679970).

Almost surely, 21365057690 is an apocalyptic number.

1365057690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1365057690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685759040).

1365057690 is an abundant number, since it is smaller than the sum of its proper divisors (2006460390).

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

1365057690 is a wasteful number, since it uses less digits than its factorization.

1365057690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167.

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 1365057690 is about 36946.6871315954. The cubic root of 1365057690 is about 1109.3033775251.

The spelling of 1365057690 in words is "one billion, three hundred sixty-five million, fifty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 227 246 410 454 615 681 1135 1230 1362 2270 3405 4889 6810 9307 9778 14667 18614 24445 27921 29334 46535 48890 55842 73335 93070 139605 146670 200449 279210 400898 601347 1002245 1109803 1202694 2004490 2219606 3006735 3329409 5549015 6013470 6658818 11098030 16647045 33294090 45501923 91003846 136505769 227509615 273011538 455019230 682528845 1365057690