Search a number
-
+
17247328 = 257372081
BaseRepresentation
bin100000111001…
…0110001100000
31012110020212221
41001302301200
513403403303
61413400424
7266412520
oct101626140
935406787
1017247328
11981019a
125939114
13375b527
14240d680
1517aa4bd
hex1072c60

17247328 has 48 divisors (see below), whose sum is σ = 39874464. Its totient is φ = 7188480.

The previous prime is 17247301. The next prime is 17247331. The reversal of 17247328 is 82374271.

It is a junction number, because it is equal to n+sod(n) for n = 17247293 and 17247302.

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, 7248 + ... + 9328.

It is an arithmetic number, because the mean of its divisors is an integer number (830718).

Almost surely, 217247328 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 17247328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19937232).

17247328 is an abundant number, since it is smaller than the sum of its proper divisors (22627136).

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

17247328 is a wasteful number, since it uses less digits than its factorization.

17247328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2127 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 17247328 is about 4152.9902480020. The cubic root of 17247328 is about 258.3691209063.

The spelling of 17247328 in words is "seventeen million, two hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 2081 4144 4162 8288 8324 14567 16648 29134 33296 58268 66592 76997 116536 153994 233072 307988 466144 538979 615976 1077958 1231952 2155916 2463904 4311832 8623664 17247328