Search a number
-
+
10508382 = 2322941491
BaseRepresentation
bin101000000101…
…100001011110
3201202212210100
4220011201132
510142232012
61013121530
7155214453
oct50054136
921685710
1010508382
115a28115
1236292a6
13223c0a1
14157782a
15dc88dc
hexa0585e

10508382 has 48 divisors (see below), whose sum is σ = 24176880. Its totient is φ = 3292800.

The previous prime is 10508359. The next prime is 10508461. The reversal of 10508382 is 28380501.

It is a happy number.

It is a super-2 number, since 2×105083822 = 220852184515848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21157 + ... + 21647.

It is an arithmetic number, because the mean of its divisors is an integer number (503685).

Almost surely, 210508382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10508382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12088440).

10508382 is an abundant number, since it is smaller than the sum of its proper divisors (13668498).

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

10508382 is a wasteful number, since it uses less digits than its factorization.

10508382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10508382 is about 3241.6634618665. The cubic root of 10508382 is about 219.0342099557.

Adding to 10508382 its reverse (28380501), we get a palindrome (38888883).

The spelling of 10508382 in words is "ten million, five hundred eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 491 522 738 982 1189 1473 2378 2946 3567 4419 7134 8838 10701 14239 20131 21402 28478 40262 42717 60393 85434 120786 128151 181179 256302 362358 583799 1167598 1751397 3502794 5254191 10508382