Search a number
-
+
2068320 = 253531139
BaseRepresentation
bin111111000111101100000
310220002012110
413320331200
51012141240
6112155320
723403042
oct7707540
93802173
102068320
111192a61
12838b40
13575577
143bba92
152acc80
hex1f8f60

2068320 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 529920.

The previous prime is 2068291. The next prime is 2068333. The reversal of 2068320 is 238602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14811 + ... + 14949.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22068320 is an apocalyptic number.

2068320 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 2068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2068320 is an abundant number, since it is smaller than the sum of its proper divisors (4705440).

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

2068320 is a wasteful number, since it uses less digits than its factorization.

2068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2068320 is about 1438.1654981260. The cubic root of 2068320 is about 127.4107025635.

The spelling of 2068320 in words is "two million, sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 139 155 160 186 240 248 278 310 372 417 465 480 496 556 620 695 744 834 930 992 1112 1240 1390 1488 1668 1860 2085 2224 2480 2780 2976 3336 3720 4170 4309 4448 4960 5560 6672 7440 8340 8618 11120 12927 13344 14880 16680 17236 21545 22240 25854 33360 34472 43090 51708 64635 66720 68944 86180 103416 129270 137888 172360 206832 258540 344720 413664 517080 689440 1034160 2068320