Search a number
-
+
17052420 = 22357113691
BaseRepresentation
bin100000100001…
…1001100000100
31012002100112010
41001003030010
513331134140
61405254220
7264641340
oct101031404
935070463
1017052420
119697810
125864370
1336c08b8
14239c620
15176c880
hex1043304

17052420 has 96 divisors (see below), whose sum is σ = 59544576. Its totient is φ = 3542400.

The previous prime is 17052419. The next prime is 17052421. The reversal of 17052420 is 2425071.

It is an interprime number because it is at equal distance from previous prime (17052419) and next prime (17052421).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (17052421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2775 + ... + 6465.

It is an arithmetic number, because the mean of its divisors is an integer number (620256).

Almost surely, 217052420 is an apocalyptic number.

17052420 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 17052420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29772288).

17052420 is an abundant number, since it is smaller than the sum of its proper divisors (42492156).

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

17052420 is a wasteful number, since it uses less digits than its factorization.

17052420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 17052420 is about 4129.4575915004. The cubic root of 17052420 is about 257.3921752979.

Adding to 17052420 its reverse (2425071), we get a palindrome (19477491).

The spelling of 17052420 in words is "seventeen million, fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 3691 4620 7382 11073 14764 18455 22146 25837 36910 40601 44292 51674 55365 73820 77511 81202 103348 110730 121803 129185 155022 162404 203005 221460 243606 258370 284207 310044 387555 406010 487212 516740 568414 609015 775110 812020 852621 1136828 1218030 1421035 1550220 1705242 2436060 2842070 3410484 4263105 5684140 8526210 17052420