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2068115840 = 27572320071
BaseRepresentation
bin111101101000100…
…1111000110000000
312100010112011120222
41323101033012000
513213414201330
6541114522212
7102151460150
oct17321170600
95303464528
102068115840
1197144104a
12498736368
1326c6063ab
1415894a760
15c186a0e5
hex7b44f180

2068115840 has 128 divisors (see below), whose sum is σ = 5896350720. Its totient is φ = 678205440.

The previous prime is 2068115839. The next prime is 2068115843. The reversal of 2068115840 is 485118602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×20681158404 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2068115840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068115843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93005 + ... + 113075.

It is an arithmetic number, because the mean of its divisors is an integer number (46065240).

Almost surely, 22068115840 is an apocalyptic number.

2068115840 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 2068115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948175360).

2068115840 is an abundant number, since it is smaller than the sum of its proper divisors (3828234880).

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

2068115840 is a wasteful number, since it uses less digits than its factorization.

2068115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20120 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 2068115840 is about 45476.5416451163. The cubic root of 2068115840 is about 1274.0651026817.

The spelling of 2068115840 in words is "two billion, sixty-eight million, one hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 280 320 322 368 448 460 560 640 644 736 805 896 920 1120 1288 1472 1610 1840 2240 2576 2944 3220 3680 4480 5152 6440 7360 10304 12880 14720 20071 20608 25760 40142 51520 80284 100355 103040 140497 160568 200710 280994 321136 401420 461633 561988 642272 702485 802840 923266 1123976 1284544 1404970 1605680 1846532 2247952 2308165 2569088 2809940 3211360 3231431 3693064 4495904 4616330 5619880 6422720 6462862 7386128 8991808 9232660 11239760 12845440 12925724 14772256 16157155 17983616 18465320 22479520 25851448 29544512 32314310 36930640 44959040 51702896 59089024 64628620 73861280 89918080 103405792 129257240 147722560 206811584 258514480 295445120 413623168 517028960 1034057920 2068115840