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10961152 = 2847911
BaseRepresentation
bin101001110100…
…000100000000
3202121212212121
4221310010000
510301224102
61030534024
7162111466
oct51640400
922555777
1010961152
116207304
123807314
13236a1b7
141654836
15e67b37
hexa74100

10961152 has 36 divisors (see below), whose sum is σ = 22369536. Its totient is φ = 5358080.

The previous prime is 10961143. The next prime is 10961161. The reversal of 10961152 is 25116901.

It is an interprime number because it is at equal distance from previous prime (10961143) and next prime (10961161).

It is a plaindrome in base 9.

It is a nialpdrome in base 16.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11577 + ... + 12487.

It is an arithmetic number, because the mean of its divisors is an integer number (621376).

Almost surely, 210961152 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 10961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184768).

10961152 is an abundant number, since it is smaller than the sum of its proper divisors (11408384).

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

10961152 is an frugal number, since it uses more digits than its factorization.

10961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 10961152 is about 3310.7630540406. The cubic root of 10961152 is about 222.1358906133.

The spelling of 10961152 in words is "ten million, nine hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 911 1504 1822 3008 3644 6016 7288 12032 14576 29152 42817 58304 85634 116608 171268 233216 342536 685072 1370144 2740288 5480576 10961152