Search a number
-
+
17071980 = 22352389139
BaseRepresentation
bin100000100011…
…1111101101100
31012010100100120
41001013331230
513332300410
61405524540
7265052352
oct101077554
935110316
1017071980
119700482
125873750
1336c9783
1423a57d2
151773570
hex1047f6c

17071980 has 96 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 4274688.

The previous prime is 17071969. The next prime is 17071993. The reversal of 17071980 is 8917071.

It is a super-2 number, since 2×170719802 = 582905002240800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122751 + ... + 122889.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 217071980 is an apocalyptic number.

17071980 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 17071980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

17071980 is an abundant number, since it is smaller than the sum of its proper divisors (33731220).

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

17071980 is a wasteful number, since it uses less digits than its factorization.

17071980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 33.

The square root of 17071980 is about 4131.8252625202. The cubic root of 17071980 is about 257.4905517003.

The spelling of 17071980 in words is "seventeen million, seventy-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 89 92 115 138 139 178 230 267 276 278 345 356 417 445 460 534 556 690 695 834 890 1068 1335 1380 1390 1668 1780 2047 2085 2670 2780 3197 4094 4170 5340 6141 6394 8188 8340 9591 10235 12282 12371 12788 15985 19182 20470 24564 24742 30705 31970 37113 38364 40940 47955 49484 61410 61855 63940 74226 95910 122820 123710 148452 185565 191820 247420 284533 371130 569066 742260 853599 1138132 1422665 1707198 2845330 3414396 4267995 5690660 8535990 17071980