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10961248 = 252353281
BaseRepresentation
bin101001110100…
…000101100000
3202121220000011
4221310011200
510301224443
61030534304
7162111664
oct51640540
922556004
1010961248
116207391
123807394
13236a25c
1416548a4
15e67b9d
hexa74160

10961248 has 48 divisors (see below), whose sum is σ = 23024736. Its totient is φ = 5125120.

The previous prime is 10961231. The next prime is 10961263. The reversal of 10961248 is 84216901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38868 + ... + 39148.

It is an arithmetic number, because the mean of its divisors is an integer number (479682).

Almost surely, 210961248 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 10961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512368).

10961248 is an abundant number, since it is smaller than the sum of its proper divisors (12063488).

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

10961248 is a wasteful number, since it uses less digits than its factorization.

10961248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10961248 is about 3310.7775521771. Note that the first 3 decimals coincide. The cubic root of 10961248 is about 222.1365391152.

The spelling of 10961248 in words is "ten million, nine hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 281 368 424 562 736 848 1124 1219 1696 2248 2438 4496 4876 6463 8992 9752 12926 14893 19504 25852 29786 39008 51704 59572 103408 119144 206816 238288 342539 476576 685078 1370156 2740312 5480624 10961248