Search a number
-
+
17121420 = 22325731303
BaseRepresentation
bin100000101010…
…0000010001100
31012012212011200
41001110002030
513340341140
61410545500
7265346451
oct101240214
935185150
1017121420
119734638
125898290
133716124
1423b9828
151783030
hex105408c

17121420 has 72 divisors (see below), whose sum is σ = 52686816. Its totient is φ = 4499712.

The previous prime is 17121409. The next prime is 17121427. The reversal of 17121420 is 2412171.

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 = 17121393 and 17121402.

It is not an unprimeable number, because it can be changed into a prime (17121427) 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 23 ways as a sum of consecutive naturals, for example, 12489 + ... + 13791.

Almost surely, 217121420 is an apocalyptic number.

17121420 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 17121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26343408).

17121420 is an abundant number, since it is smaller than the sum of its proper divisors (35565396).

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

17121420 is a wasteful number, since it uses less digits than its factorization.

17121420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 17121420 is about 4137.8037652842. The cubic root of 17121420 is about 257.7388740724.

Adding to 17121420 its reverse (2412171), we get a palindrome (19533591).

The spelling of 17121420 in words is "seventeen million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1303 1314 1460 2190 2606 2628 3285 3909 4380 5212 6515 6570 7818 11727 13030 13140 15636 19545 23454 26060 39090 46908 58635 78180 95119 117270 190238 234540 285357 380476 475595 570714 856071 951190 1141428 1426785 1712142 1902380 2853570 3424284 4280355 5707140 8560710 17121420