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10920906 = 23523977
BaseRepresentation
bin101001101010…
…001111001010
3202112211200000
4221222033022
510243432111
61030023430
7161553243
oct51521712
922484600
1010920906
11618a047
1237a7b76
132354a99
141643cca
15e5ac56
hexa6a3ca

10920906 has 48 divisors (see below), whose sum is σ = 25631424. Its totient is φ = 3478464.

The previous prime is 10920901. The next prime is 10920913. The reversal of 10920906 is 60902901.

It is a happy number.

10920906 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 self number, because there is not a number n which added to its sum of digits gives 10920906.

It is not an unprimeable number, because it can be changed into a prime (10920901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10690 + ... + 11666.

It is an arithmetic number, because the mean of its divisors is an integer number (533988).

Almost surely, 210920906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10920906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12815712).

10920906 is an abundant number, since it is smaller than the sum of its proper divisors (14710518).

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

10920906 is an equidigital number, since it uses as much as digits as its factorization.

10920906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

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

The square root of 10920906 is about 3304.6794095646. The cubic root of 10920906 is about 221.8636854906.

The spelling of 10920906 in words is "ten million, nine hundred twenty thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 977 1242 1863 1954 2931 3726 5589 5862 8793 11178 17586 22471 26379 44942 52758 67413 79137 134826 158274 202239 237411 404478 474822 606717 1213434 1820151 3640302 5460453 10920906