Search a number
-
+
10285352 = 2371159283
BaseRepresentation
bin100111001111…
…000100101000
3201100112211222
4213033010220
510113112402
61004241212
7153265310
oct47170450
921315758
1010285352
1158955a0
123540208
13219170c
14151a440
15d827a2
hex9cf128

10285352 has 64 divisors (see below), whose sum is σ = 24537600. Its totient is φ = 3925440.

The previous prime is 10285351. The next prime is 10285409. The reversal of 10285352 is 25358201.

It is not an unprimeable number, because it can be changed into a prime (10285351) by changing a digit.

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, 36203 + ... + 36485.

It is an arithmetic number, because the mean of its divisors is an integer number (383400).

Almost surely, 210285352 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 10285352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268800).

10285352 is an abundant number, since it is smaller than the sum of its proper divisors (14252248).

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

10285352 is a wasteful number, since it uses less digits than its factorization.

10285352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 10285352 is about 3207.0784212426. The cubic root of 10285352 is about 217.4735212404.

The spelling of 10285352 in words is "ten million, two hundred eighty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 59 77 88 118 154 236 283 308 413 472 566 616 649 826 1132 1298 1652 1981 2264 2596 3113 3304 3962 4543 5192 6226 7924 9086 12452 15848 16697 18172 21791 24904 33394 36344 43582 66788 87164 116879 133576 174328 183667 233758 367334 467516 734668 935032 1285669 1469336 2571338 5142676 10285352