[go: up one dir, main page]

Search a number
-
+
17122140 = 223257107127
BaseRepresentation
bin100000101010…
…0001101011100
31012012220011100
41001110031130
513340402030
61410553100
7265351530
oct101241534
935186140
1017122140
119735132
125898790
133716559
1423b9bc0
151783360
hex105435c

17122140 has 144 divisors (see below), whose sum is σ = 60383232. Its totient is φ = 3846528.

The previous prime is 17122139. The next prime is 17122141. The reversal of 17122140 is 4122171.

It is an interprime number because it is at equal distance from previous prime (17122139) and next prime (17122141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17122141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134757 + ... + 134883.

It is an arithmetic number, because the mean of its divisors is an integer number (419328).

Almost surely, 217122140 is an apocalyptic number.

17122140 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 17122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191616).

17122140 is an abundant number, since it is smaller than the sum of its proper divisors (43261092).

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

17122140 is a wasteful number, since it uses less digits than its factorization.

17122140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

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

The square root of 17122140 is about 4137.8907670455. The cubic root of 17122140 is about 257.7424868839.

The spelling of 17122140 in words is "seventeen million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 107 126 127 140 180 210 214 252 254 315 321 381 420 428 508 535 630 635 642 749 762 889 963 1070 1143 1260 1270 1284 1498 1524 1605 1778 1905 1926 2140 2247 2286 2540 2667 2996 3210 3556 3745 3810 3852 4445 4494 4572 4815 5334 5715 6420 6741 7490 7620 8001 8890 8988 9630 10668 11235 11430 13335 13482 13589 14980 16002 17780 19260 22470 22860 26670 26964 27178 32004 33705 40005 40767 44940 53340 54356 67410 67945 80010 81534 95123 122301 134820 135890 160020 163068 190246 203835 244602 271780 285369 380492 407670 475615 489204 570738 611505 815340 856107 951230 1141476 1223010 1426845 1712214 1902460 2446020 2853690 3424428 4280535 5707380 8561070 17122140