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10956330 = 23357111731
BaseRepresentation
bin101001110010…
…111000101010
3202121122021000
4221302320222
510301100310
61030455430
7162061440
oct51627052
922548230
1010956330
116203720
123804576
132367c48
141652b90
15e664c0
hexa72e2a

10956330 has 256 divisors, whose sum is σ = 39813120. Its totient is φ = 2073600.

The previous prime is 10956289. The next prime is 10956373. The reversal of 10956330 is 3365901.

10956330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10956294 and 10956303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 353415 + ... + 353445.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

Almost surely, 210956330 is an apocalyptic number.

10956330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10956330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906560).

10956330 is an abundant number, since it is smaller than the sum of its proper divisors (28856790).

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

10956330 is a wasteful number, since it uses less digits than its factorization.

10956330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 10956330 is about 3310.0347430201. The cubic root of 10956330 is about 222.1033120311.

The spelling of 10956330 in words is "ten million, nine hundred fifty-six thousand, three hundred thirty".