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10000056540 = 22351715164927
BaseRepresentation
bin10010101000000110…
…01100000011011100
3221210220212111200110
421110003030003130
5130440003302130
64332143530020
7502545035535
oct112403140334
927726774613
1010000056540
114271853541
121b30bb9910
13c34a0a126
146ac17968c
153d7dbeab0
hex2540cc0dc

10000056540 has 96 divisors (see below), whose sum is σ = 29844025344. Its totient is φ = 2493158400.

The previous prime is 10000056503. The next prime is 10000056593. The reversal of 10000056540 is 4565000001.

It is a happy number.

It is a super-2 number, since 2×100000565402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 121557 + ... + 186483.

It is an arithmetic number, because the mean of its divisors is an integer number (310875264).

Almost surely, 210000056540 is an apocalyptic number.

10000056540 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 10000056540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14922012672).

10000056540 is an abundant number, since it is smaller than the sum of its proper divisors (19843968804).

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

10000056540 is a wasteful number, since it uses less digits than its factorization.

10000056540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65107 (or 65105 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 10000056540 its reverse (4565000001), we get a palindrome (14565056541).

The spelling of 10000056540 in words is "ten billion, fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 151 170 204 255 302 340 453 510 604 755 906 1020 1510 1812 2265 2567 3020 4530 5134 7701 9060 10268 12835 15402 25670 30804 38505 51340 64927 77010 129854 154020 194781 259708 324635 389562 649270 779124 973905 1103759 1298540 1947810 2207518 3311277 3895620 4415036 5518795 6622554 9803977 11037590 13245108 16556385 19607954 22075180 29411931 33112770 39215908 49019885 58823862 66225540 98039770 117647724 147059655 166667609 196079540 294119310 333335218 500002827 588238620 666670436 833338045 1000005654 1666676090 2000011308 2500014135 3333352180 5000028270 10000056540