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10795224 = 23311103397
BaseRepresentation
bin101001001011…
…100011011000
3202022110021010
4221023203120
510230421344
61023213520
7160520646
oct51134330
922273233
1010795224
116103680
1237472a0
13230c80b
141610196
15e338b9
hexa4b8d8

10795224 has 64 divisors (see below), whose sum is σ = 29802240. Its totient is φ = 3231360.

The previous prime is 10795219. The next prime is 10795247. The reversal of 10795224 is 42259701.

It is a super-2 number, since 2×107952242 = 233073722420352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10795191 and 10795200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26994 + ... + 27390.

It is an arithmetic number, because the mean of its divisors is an integer number (465660).

Almost surely, 210795224 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 10795224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14901120).

10795224 is an abundant number, since it is smaller than the sum of its proper divisors (19007016).

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

10795224 is a wasteful number, since it uses less digits than its factorization.

10795224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10795224 is about 3285.6086194189. The cubic root of 10795224 is about 221.0093019023.

The spelling of 10795224 in words is "ten million, seven hundred ninety-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 397 412 618 794 824 1133 1191 1236 1588 2266 2382 2472 3176 3399 4367 4532 4764 6798 8734 9064 9528 13101 13596 17468 26202 27192 34936 40891 52404 81782 104808 122673 163564 245346 327128 449801 490692 899602 981384 1349403 1799204 2698806 3598408 5397612 10795224