Search a number
-
+
10886640 = 243545361
BaseRepresentation
bin101001100001…
…110111110000
3202111002122220
4221201313300
510241333030
61025201040
7161351322
oct51416760
922432586
1010886640
116166326
123790180
1323422cb
141635612
15e50a10
hexa61df0

10886640 has 40 divisors (see below), whose sum is σ = 33749328. Its totient is φ = 2903040.

The previous prime is 10886627. The next prime is 10886641. The reversal of 10886640 is 4668801.

10886640 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 tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10886641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22441 + ... + 22920.

Almost surely, 210886640 is an apocalyptic number.

10886640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10886640 is an abundant number, since it is smaller than the sum of its proper divisors (22862688).

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

10886640 is a wasteful number, since it uses less digits than its factorization.

10886640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45377 (or 45371 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 10886640 is about 3299.4908698161. The cubic root of 10886640 is about 221.6313987144.

The spelling of 10886640 in words is "ten million, eight hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 45361 90722 136083 181444 226805 272166 362888 453610 544332 680415 725776 907220 1088664 1360830 1814440 2177328 2721660 3628880 5443320 10886640