[go: up one dir, main page]

Search a number
-
+
17031420 = 22325721931
BaseRepresentation
bin100000011111…
…0000011111100
31012001021201100
41000332003330
513330001140
61405013100
7264523200
oct100760374
935037640
1017031420
119682a5a
125854190
1336b4183
142394b00
151766530
hex103e0fc

17031420 has 108 divisors (see below), whose sum is σ = 60127704. Its totient is φ = 3890880.

The previous prime is 17031407. The next prime is 17031449. The reversal of 17031420 is 2413071.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 17031393 and 17031402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7855 + ... + 9785.

It is an arithmetic number, because the mean of its divisors is an integer number (556738).

Almost surely, 217031420 is an apocalyptic number.

17031420 is a gapful number since it is divisible by the number (10) 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 17031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30063852).

17031420 is an abundant number, since it is smaller than the sum of its proper divisors (43096284).

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

17031420 is a wasteful number, since it uses less digits than its factorization.

17031420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 17031420 is about 4126.9141013595. The cubic root of 17031420 is about 257.2864726851.

Adding to 17031420 its reverse (2413071), we get a palindrome (19444491).

The spelling of 17031420 in words is "seventeen million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 1931 2205 2940 3862 4410 5793 7724 8820 9655 11586 13517 17379 19310 23172 27034 28965 34758 38620 40551 54068 57930 67585 69516 81102 86895 94619 115860 121653 135170 162204 173790 189238 202755 243306 270340 283857 347580 378476 405510 473095 486612 567714 608265 811020 851571 946190 1135428 1216530 1419285 1703142 1892380 2433060 2838570 3406284 4257855 5677140 8515710 17031420