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17072420 = 22517149337
BaseRepresentation
bin100000100100…
…0000100100100
31012010100221212
41001020010210
513332304140
61405530552
7265053551
oct101100444
935110855
1017072420
119700842
125873a58
1336c9a31
1423a5a28
151773765
hex1048124

17072420 has 48 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 6365184.

The previous prime is 17072401. The next prime is 17072423. The reversal of 17072420 is 2427071.

It can be written as a sum of positive squares in 8 ways, for example, as 1136356 + 15936064 = 1066^2 + 3992^2 .

It is not an unprimeable number, because it can be changed into a prime (17072423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50492 + ... + 50828.

It is an arithmetic number, because the mean of its divisors is an integer number (798525).

Almost surely, 217072420 is an apocalyptic number.

17072420 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 17072420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

17072420 is an abundant number, since it is smaller than the sum of its proper divisors (21256780).

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

17072420 is a wasteful number, since it uses less digits than its factorization.

17072420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 17072420 is about 4131.8785074104. The cubic root of 17072420 is about 257.4927638021.

Adding to 17072420 its reverse (2427071), we get a palindrome (19499491).

The spelling of 17072420 in words is "seventeen million, seventy-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 337 340 596 674 745 1348 1490 1685 2533 2980 3370 5066 5729 6740 10132 11458 12665 22916 25330 28645 50213 50660 57290 100426 114580 200852 251065 502130 853621 1004260 1707242 3414484 4268105 8536210 17072420