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10995840 = 273252383
BaseRepresentation
bin101001111100…
…100010000000
3202200122110100
4221330202000
510303331330
61031402400
7162314562
oct51744200
922618410
1010995840
116230379
123823400
13237cc1b
141663332
15e73060
hexa7c880

10995840 has 192 divisors, whose sum is σ = 40098240. Its totient is φ = 2770944.

The previous prime is 10995833. The next prime is 10995871. The reversal of 10995840 is 4859901.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10995795 and 10995804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132439 + ... + 132521.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 210995840 is an apocalyptic number.

10995840 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 10995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

10995840 is an abundant number, since it is smaller than the sum of its proper divisors (29102400).

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

10995840 is a wasteful number, since it uses less digits than its factorization.

10995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10995840 is about 3315.9975874539. The cubic root of 10995840 is about 222.3699698942.

The spelling of 10995840 in words is "ten million, nine hundred ninety-five thousand, eight hundred forty".