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10883808 = 2534131719
BaseRepresentation
bin101001100001…
…001011100000
3202110221210000
4221201023200
510241240213
61025140000
7161340135
oct51411340
922427700
1010883808
116164191
12378a600
132340c30
14163458c
15e4ec73
hexa612e0

10883808 has 240 divisors, whose sum is σ = 38419920. Its totient is φ = 2985984.

The previous prime is 10883797. The next prime is 10883813. The reversal of 10883808 is 80838801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572823 + ... + 572841.

It is an arithmetic number, because the mean of its divisors is an integer number (160083).

Almost surely, 210883808 is an apocalyptic number.

10883808 is a gapful number since it is divisible by the number (18) 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 10883808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209960).

10883808 is an abundant number, since it is smaller than the sum of its proper divisors (27536112).

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

10883808 is a wasteful number, since it uses less digits than its factorization.

10883808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 10883808 is about 3299.0616847825. The cubic root of 10883808 is about 221.6121789933.

The spelling of 10883808 in words is "ten million, eight hundred eighty-three thousand, eight hundred eight".