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20135280 = 24351129263
BaseRepresentation
bin100110011001…
…1110101110000
31101212222102010
41030303311300
520123312110
61555322520
7333101304
oct114636560
941788363
1020135280
1110402a30
1268b0440
13422cb89
142961d04
151b7b020
hex1333d70

20135280 has 160 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 4695040.

The previous prime is 20135267. The next prime is 20135321. The reversal of 20135280 is 8253102.

It is a congruent number.

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, 76429 + ... + 76691.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 220135280 is an apocalyptic number.

20135280 is a gapful number since it is divisible by the number (20) 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 20135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

20135280 is an abundant number, since it is smaller than the sum of its proper divisors (50574480).

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

20135280 is a wasteful number, since it uses less digits than its factorization.

20135280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20135280 is about 4487.2352289578. The cubic root of 20135280 is about 272.0523976334.

Adding to 20135280 its reverse (8253102), we get a palindrome (28388382).

The spelling of 20135280 in words is "twenty million, one hundred thirty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 263 264 290 319 330 348 435 440 464 526 528 580 638 660 696 789 870 880 957 1052 1160 1276 1315 1320 1392 1578 1595 1740 1914 2104 2320 2552 2630 2640 2893 3156 3190 3480 3828 3945 4208 4785 5104 5260 5786 6312 6380 6960 7627 7656 7890 8679 9570 10520 11572 12624 12760 14465 15254 15312 15780 17358 19140 21040 22881 23144 25520 28930 30508 31560 34716 38135 38280 43395 45762 46288 57860 61016 63120 69432 76270 76560 83897 86790 91524 114405 115720 122032 138864 152540 167794 173580 183048 228810 231440 251691 305080 335588 347160 366096 419485 457620 503382 610160 671176 694320 838970 915240 1006764 1258455 1342352 1677940 1830480 2013528 2516910 3355880 4027056 5033820 6711760 10067640 20135280