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10952768 = 26533229
BaseRepresentation
bin101001110010…
…000001000000
3202121110101002
4221302001000
510300442033
61030431132
7162045161
oct51620100
922543332
1010952768
116200a82
1238024a8
132366438
141651768
15e653e8
hexa72040

10952768 has 28 divisors (see below), whose sum is σ = 22151340. Its totient is φ = 5371392.

The previous prime is 10952741. The next prime is 10952789. The reversal of 10952768 is 86725901.

It can be written as a sum of positive squares in 2 ways, for example, as 5607424 + 5345344 = 2368^2 + 2312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1778 + ... + 5006.

Almost surely, 210952768 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 10952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075670).

10952768 is an abundant number, since it is smaller than the sum of its proper divisors (11198572).

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

10952768 is an equidigital number, since it uses as much as digits as its factorization.

10952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 10952768 is about 3309.4966384633. The cubic root of 10952768 is about 222.0792401705.

The spelling of 10952768 in words is "ten million, nine hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3229 3392 6458 12916 25832 51664 103328 171137 206656 342274 684548 1369096 2738192 5476384 10952768