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10509804 = 2233234231
BaseRepresentation
bin101000000101…
…110111101100
3201202221202000
4220011313230
510142303204
61013132300
7155221554
oct50056754
921687660
1010509804
115a29198
12362a090
13223c926
141578164
15dc9039
hexa05dec

10509804 has 48 divisors (see below), whose sum is σ = 28439040. Its totient is φ = 3350160.

The previous prime is 10509799. The next prime is 10509823. The reversal of 10509804 is 40890501.

10509804 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105098042 = 220911960236832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369 + ... + 4599.

It is an arithmetic number, because the mean of its divisors is an integer number (592480).

Almost surely, 210509804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10509804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219520).

10509804 is an abundant number, since it is smaller than the sum of its proper divisors (17929236).

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

10509804 is a wasteful number, since it uses less digits than its factorization.

10509804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10509804 is about 3241.8827862833. The cubic root of 10509804 is about 219.0440894531.

The spelling of 10509804 in words is "ten million, five hundred nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 4231 8462 12693 16924 25386 38079 50772 76158 97313 114237 152316 194626 228474 291939 389252 456948 583878 875817 1167756 1751634 2627451 3503268 5254902 10509804