Search a number
-
+
10560563040 = 253522001173
BaseRepresentation
bin10011101010111010…
…10110011101100000
31000020222120012001110
421311131112131200
5133112001004130
64503525303320
7522462206346
oct116535263540
930228505043
1010560563040
11452a187355
122068864b40
13cc3b88891
147227a1996
1541c1daab0
hex275756760

10560563040 has 48 divisors (see below), whose sum is σ = 33265775088. Its totient is φ = 2816150016.

The previous prime is 10560563029. The next prime is 10560563059. The reversal of 10560563040 is 4036506501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×105605630403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10560562989 and 10560563007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11000107 + ... + 11001066.

It is an arithmetic number, because the mean of its divisors is an integer number (693036981).

Almost surely, 210560563040 is an apocalyptic number.

10560563040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10560563040 is an abundant number, since it is smaller than the sum of its proper divisors (22705212048).

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

10560563040 is a wasteful number, since it uses less digits than its factorization.

10560563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22001191 (or 22001183 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 10560563040 in words is "ten billion, five hundred sixty million, five hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 22001173 44002346 66003519 88004692 110005865 132007038 176009384 220011730 264014076 330017595 352018768 440023460 528028152 660035190 704037536 880046920 1056056304 1320070380 1760093840 2112112608 2640140760 3520187680 5280281520 10560563040