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10966424 = 2371131733
BaseRepresentation
bin101001110101…
…010110011000
3202122011002212
4221311112120
510301411144
61031014252
7162133040
oct51652630
922564085
1010966424
116210267
12380a388
13236c711
141656720
15e6949e
hexa75598

10966424 has 32 divisors (see below), whose sum is σ = 23721120. Its totient is φ = 4655616.

The previous prime is 10966421. The next prime is 10966433. The reversal of 10966424 is 42466901.

It is a happy number.

10966424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10966421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5462 + ... + 7194.

It is an arithmetic number, because the mean of its divisors is an integer number (741285).

Almost surely, 210966424 is an apocalyptic number.

10966424 is a gapful number since it is divisible by the number (14) 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 10966424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860560).

10966424 is an abundant number, since it is smaller than the sum of its proper divisors (12754696).

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

10966424 is a wasteful number, since it uses less digits than its factorization.

10966424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 10966424 is about 3311.5591494038. The cubic root of 10966424 is about 222.1714985710.

The spelling of 10966424 in words is "ten million, nine hundred sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1582 1733 3164 3466 6328 6932 12131 13864 24262 48524 97048 195829 391658 783316 1370803 1566632 2741606 5483212 10966424