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10895040 = 263351397
BaseRepresentation
bin101001100011…
…111011000000
3202111112012000
4221203323000
510242120130
61025304000
7161414652
oct51437300
922445160
1010895040
116171672
123795000
132346090
1416386d2
15e53260
hexa63ec0

10895040 has 224 divisors, whose sum is σ = 41818560. Its totient is φ = 2654208.

The previous prime is 10894993. The next prime is 10895047. The reversal of 10895040 is 4059801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10894995 and 10895013.

It is not an unprimeable number, because it can be changed into a prime (10895047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112272 + ... + 112368.

It is an arithmetic number, because the mean of its divisors is an integer number (186690).

Almost surely, 210895040 is an apocalyptic number.

10895040 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 10895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20909280).

10895040 is an abundant number, since it is smaller than the sum of its proper divisors (30923520).

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

10895040 is a wasteful number, since it uses less digits than its factorization.

10895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10895040 is about 3300.7635480295. The cubic root of 10895040 is about 221.6883867637.

The spelling of 10895040 in words is "ten million, eight hundred ninety-five thousand, forty".