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10968288 = 253611873
BaseRepresentation
bin101001110101…
…110011100000
3202122020122220
4221311303200
510301441123
61031031040
7162141342
oct51656340
922566586
1010968288
116211701
12380b480
132370516
141657292
15e69ce3
hexa75ce0

10968288 has 48 divisors (see below), whose sum is σ = 29279376. Its totient is φ = 3594240.

The previous prime is 10968259. The next prime is 10968319. The reversal of 10968288 is 88286901.

10968288 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 (48).

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, 4920 + ... + 6792.

It is an arithmetic number, because the mean of its divisors is an integer number (609987).

Almost surely, 210968288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10968288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639688).

10968288 is an abundant number, since it is smaller than the sum of its proper divisors (18311088).

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

10968288 is a wasteful number, since it uses less digits than its factorization.

10968288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 10968288 is about 3311.8405758732. The cubic root of 10968288 is about 222.1840856037.

The spelling of 10968288 in words is "ten million, nine hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1873 1952 2928 3746 5619 5856 7492 11238 14984 22476 29968 44952 59936 89904 114253 179808 228506 342759 457012 685518 914024 1371036 1828048 2742072 3656096 5484144 10968288