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10920960 = 21033579
BaseRepresentation
bin101001101010…
…010000000000
3202112211202000
4221222100000
510243432320
61030024000
7161553351
oct51522000
922484660
1010920960
11618a096
1237a8000
132354b0b
141643d28
15e5ac90
hexa6a400

10920960 has 176 divisors, whose sum is σ = 39302400. Its totient is φ = 2875392.

The previous prime is 10920937. The next prime is 10920977. The reversal of 10920960 is 6902901.

It is a happy number.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 138201 + ... + 138279.

Almost surely, 210920960 is an apocalyptic number.

10920960 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 10920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651200).

10920960 is an abundant number, since it is smaller than the sum of its proper divisors (28381440).

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

10920960 is an equidigital number, since it uses as much as digits as its factorization.

10920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10920960 is about 3304.6875797872. The cubic root of 10920960 is about 221.8640511690.

The spelling of 10920960 in words is "ten million, nine hundred twenty thousand, nine hundred sixty".