Search a number
-
+
20951280 = 2432574157
BaseRepresentation
bin100111111101…
…1000011110000
31110102102202100
41033323003300
520330420110
62025020400
7343040310
oct117730360
943372670
1020951280
1110910009
127024700
13445740c
142ad5440
151c8cbc0
hex13fb0f0

20951280 has 120 divisors (see below), whose sum is σ = 80432352. Its totient is φ = 4787712.

The previous prime is 20951279. The next prime is 20951291. The reversal of 20951280 is 8215902.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×209512802 = 877912267276800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2962 + ... + 7118.

Almost surely, 220951280 is an apocalyptic number.

20951280 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 20951280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40216176).

20951280 is an abundant number, since it is smaller than the sum of its proper divisors (59481072).

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

20951280 is a wasteful number, since it uses less digits than its factorization.

20951280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 20951280 is about 4577.2568204111. The cubic root of 20951280 is about 275.6788956262.

It can be divided in two parts, 2095 and 1280, that added together give a cube (3375 = 153).

The spelling of 20951280 in words is "twenty million, nine hundred fifty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 4157 5040 8314 12471 16628 20785 24942 29099 33256 37413 41570 49884 58198 62355 66512 74826 83140 87297 99768 116396 124710 145495 149652 166280 174594 187065 199536 232792 249420 261891 290990 299304 332560 349188 374130 436485 465584 498840 523782 581980 598608 698376 748260 872970 997680 1047564 1163960 1309455 1396752 1496520 1745940 2095128 2327920 2618910 2993040 3491880 4190256 5237820 6983760 10475640 20951280