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10281152 = 26753433
BaseRepresentation
bin100111001110…
…000011000000
3201100100002102
4213032003000
510112444102
61004205532
7153250130
oct47160300
921310072
1010281152
115892422
1235398a8
13218c82b
141518ac0
15d81402
hex9ce0c0

10281152 has 56 divisors (see below), whose sum is σ = 23810976. Its totient is φ = 4313088.

The previous prime is 10281143. The next prime is 10281157. The reversal of 10281152 is 25118201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (10281157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23528 + ... + 23960.

It is an arithmetic number, because the mean of its divisors is an integer number (425196).

Almost surely, 210281152 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 10281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905488).

10281152 is an abundant number, since it is smaller than the sum of its proper divisors (13529824).

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

10281152 is an equidigital number, since it uses as much as digits as its factorization.

10281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 10281152 is about 3206.4235528077. The cubic root of 10281152 is about 217.4439156050.

Adding to 10281152 its reverse (25118201), we get a palindrome (35399353).

The spelling of 10281152 in words is "ten million, two hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 433 448 742 848 866 1484 1696 1732 2968 3031 3392 3464 5936 6062 6928 11872 12124 13856 22949 23744 24248 27712 45898 48496 91796 96992 160643 183592 193984 321286 367184 642572 734368 1285144 1468736 2570288 5140576 10281152