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17013420 = 22325313049
BaseRepresentation
bin100000011100…
…1101010101100
31012000101000200
41000321222230
513323412140
61404353500
7264416544
oct100715254
935011020
1017013420
119670486
125845890
1336a8c18
14238c324
151761030
hex1039aac

17013420 has 72 divisors (see below), whose sum is σ = 53289600. Its totient is φ = 4389120.

The previous prime is 17013419. The next prime is 17013421. The reversal of 17013420 is 2431071.

It is an interprime number because it is at equal distance from previous prime (17013419) and next prime (17013421).

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 = 17013393 and 17013402.

It is not an unprimeable number, because it can be changed into a prime (17013421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4056 + ... + 7104.

Almost surely, 217013420 is an apocalyptic number.

17013420 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 17013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26644800).

17013420 is an abundant number, since it is smaller than the sum of its proper divisors (36276180).

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

17013420 is a wasteful number, since it uses less digits than its factorization.

17013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3090 counting only the distinct ones).

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

The square root of 17013420 is about 4124.7327186134. The cubic root of 17013420 is about 257.1958012677.

Adding to 17013420 its reverse (2431071), we get a palindrome (19444491).

The spelling of 17013420 in words is "seventeen million, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 3049 5580 6098 9147 12196 15245 18294 27441 30490 36588 45735 54882 60980 91470 94519 109764 137205 182940 189038 274410 283557 378076 472595 548820 567114 850671 945190 1134228 1417785 1701342 1890380 2835570 3402684 4253355 5671140 8506710 17013420