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10559340 = 22325115333
BaseRepresentation
bin101000010001…
…111101101100
3201212110200200
4220101331230
510200344330
61014153500
7155516151
oct50217554
921773620
1010559340
115a62430
123652890
13225933c
14158c228
15dd8a60
hexa11f6c

10559340 has 72 divisors (see below), whose sum is σ = 34948368. Its totient is φ = 2559360.

The previous prime is 10559317. The next prime is 10559347. The reversal of 10559340 is 4395501.

10559340 = T104 + T105 + ... + T400.

10559340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105593402 = 222999322471200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10559347) 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, 687 + ... + 4646.

It is an arithmetic number, because the mean of its divisors is an integer number (485394).

Almost surely, 210559340 is an apocalyptic number.

10559340 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 10559340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474184).

10559340 is an abundant number, since it is smaller than the sum of its proper divisors (24389028).

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

10559340 is a wasteful number, since it uses less digits than its factorization.

10559340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10559340 is about 3249.5138097876. The cubic root of 10559340 is about 219.3876913300.

The spelling of 10559340 in words is "ten million, five hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5333 10666 15999 21332 26665 31998 47997 53330 58663 63996 79995 95994 106660 117326 159990 175989 191988 234652 239985 293315 319980 351978 479970 527967 586630 703956 879945 959940 1055934 1173260 1759890 2111868 2639835 3519780 5279670 10559340