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2069681240 = 235117197683
BaseRepresentation
bin111101101011100…
…1101010001011000
312100020110200220202
41323113031101120
513214314244430
6541212241332
7102201000044
oct17327152130
95306420822
102069681240
11972310170
12499170248
1326ca33a73
14158c37024
15c1a78d45
hex7b5cd458

2069681240 has 128 divisors (see below), whose sum is σ = 5212408320. Its totient is φ = 733286400.

The previous prime is 2069681239. The next prime is 2069681287. The reversal of 2069681240 is 421869602.

It is a junction number, because it is equal to n+sod(n) for n = 2069681194 and 2069681203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3029939 + ... + 3030621.

It is an arithmetic number, because the mean of its divisors is an integer number (40721940).

Almost surely, 22069681240 is an apocalyptic number.

2069681240 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 2069681240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606204160).

2069681240 is an abundant number, since it is smaller than the sum of its proper divisors (3142727080).

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

2069681240 is a wasteful number, since it uses less digits than its factorization.

2069681240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 2069681240 is about 45493.7494607776. The cubic root of 2069681240 is about 1274.3864770906.

The spelling of 2069681240 in words is "two billion, sixty-nine million, six hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 97 110 142 194 220 284 355 388 440 485 568 683 710 776 781 970 1067 1366 1420 1562 1940 2134 2732 2840 3124 3415 3880 3905 4268 5335 5464 6248 6830 6887 7513 7810 8536 10670 13660 13774 15026 15620 21340 27320 27548 30052 31240 34435 37565 42680 48493 55096 60104 66251 68870 75130 75757 96986 132502 137740 150260 151514 193972 242465 265004 275480 300520 303028 331255 378785 387944 484930 530008 533423 606056 662510 728761 757570 969860 1066846 1325020 1457522 1515140 1939720 2133692 2650040 2667115 2915044 3030280 3643805 4267384 4703821 5334230 5830088 7287610 9407642 10668460 14575220 18815284 21336920 23519105 29150440 37630568 47038210 51742031 94076420 103484062 188152840 206968124 258710155 413936248 517420310 1034840620 2069681240