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10970000 = 24541097
BaseRepresentation
bin101001110110…
…001110010000
3202122100000022
4221312032100
510302020000
61031043012
7162146336
oct51661620
922570008
1010970000
116212a18
123810468
132371232
141657b56
15e6a585
hexa76390

10970000 has 50 divisors (see below), whose sum is σ = 26583678. Its totient is φ = 4384000.

The previous prime is 10969979. The next prime is 10970023. The reversal of 10970000 is 7901.

It can be written as a sum of positive squares in 5 ways, for example, as 5513104 + 5456896 = 2348^2 + 2336^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 9452 + ... + 10548.

Almost surely, 210970000 is an apocalyptic number.

10970000 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 10970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13291839).

10970000 is an abundant number, since it is smaller than the sum of its proper divisors (15613678).

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

10970000 is an equidigital number, since it uses as much as digits as its factorization.

10970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 10970000 is about 3312.0990323358. The cubic root of 10970000 is about 222.1956449697.

Adding to 10970000 its reverse (7901), we get a palindrome (10977901).

The spelling of 10970000 in words is "ten million, nine hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1097 1250 2000 2194 2500 4388 5000 5485 8776 10000 10970 17552 21940 27425 43880 54850 87760 109700 137125 219400 274250 438800 548500 685625 1097000 1371250 2194000 2742500 5485000 10970000