Search a number
-
+
10169928 = 2333197239
BaseRepresentation
bin100110110010…
…111001001000
3201010200112000
4212302321020
510100414203
61001551000
7152304636
oct46627110
921120460
1010169928
1158168aa
1234a5460
132151012
1414ca356
15d5d4a3
hex9b2e48

10169928 has 64 divisors (see below), whose sum is σ = 28512000. Its totient is φ = 3358656.

The previous prime is 10169909. The next prime is 10169963. The reversal of 10169928 is 82996101.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10169892 and 10169901.

It is an unprimeable number.

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, 42433 + ... + 42671.

It is an arithmetic number, because the mean of its divisors is an integer number (445500).

Almost surely, 210169928 is an apocalyptic number.

10169928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10169928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256000).

10169928 is an abundant number, since it is smaller than the sum of its proper divisors (18342072).

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

10169928 is a wasteful number, since it uses less digits than its factorization.

10169928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 10169928 is about 3189.0324551500. The cubic root of 10169928 is about 216.6569505176.

The spelling of 10169928 in words is "ten million, one hundred sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 197 216 239 394 478 591 717 788 956 1182 1434 1576 1773 1912 2151 2364 2868 3546 4302 4728 5319 5736 6453 7092 8604 10638 12906 14184 17208 21276 25812 42552 47083 51624 94166 141249 188332 282498 376664 423747 564996 847494 1129992 1271241 1694988 2542482 3389976 5084964 10169928