Search a number
-
+
20267280 = 2433511853
BaseRepresentation
bin100110101010…
…0000100010000
31102010200111000
41031110010100
520142023110
62002222000
7334161165
oct115240420
942120430
1020267280
1110493120
126954900
134277c97
14299806c
151ba51c0
hex1354110

20267280 has 160 divisors (see below), whose sum is σ = 76245120. Its totient is φ = 4907520.

The previous prime is 20267279. The next prime is 20267297. The reversal of 20267280 is 8276202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23334 + ... + 24186.

It is an arithmetic number, because the mean of its divisors is an integer number (476532).

Almost surely, 220267280 is an apocalyptic number.

20267280 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 20267280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38122560).

20267280 is an abundant number, since it is smaller than the sum of its proper divisors (55977840).

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

20267280 is a wasteful number, since it uses less digits than its factorization.

20267280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20267280 is about 4501.9195905747. The cubic root of 20267280 is about 272.6455973608.

The spelling of 20267280 in words is "twenty million, two hundred sixty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 853 880 990 1080 1188 1320 1485 1584 1706 1980 2160 2376 2559 2640 2970 3412 3960 4265 4752 5118 5940 6824 7677 7920 8530 9383 10236 11880 12795 13648 15354 17060 18766 20472 23031 23760 25590 28149 30708 34120 37532 38385 40944 46062 46915 51180 56298 61416 68240 75064 76770 84447 92124 93830 102360 112596 115155 122832 140745 150128 153540 168894 184248 187660 204720 225192 230310 253341 281490 307080 337788 368496 375320 422235 450384 460620 506682 562980 614160 675576 750640 844470 921240 1013364 1125960 1266705 1351152 1688940 1842480 2026728 2251920 2533410 3377880 4053456 5066820 6755760 10133640 20267280