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2076882240 = 26352817699
BaseRepresentation
bin111101111001010…
…1011010101000000
312100202000112211110
41323302223111000
513223140212430
6542030443320
7102316131156
oct17362532500
95322015743
102076882240
11976389404
1249b663540
13271385604
14159b8d3d6
15c24ec7b0
hex7bcab540

2076882240 has 112 divisors (see below), whose sum is σ = 6618427200. Its totient is φ = 551792640.

The previous prime is 2076882233. The next prime is 2076882259. The reversal of 2076882240 is 422886702.

2076882240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 265911 + ... + 273609.

It is an arithmetic number, because the mean of its divisors is an integer number (59093100).

Almost surely, 22076882240 is an apocalyptic number.

2076882240 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 2076882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309213600).

2076882240 is an abundant number, since it is smaller than the sum of its proper divisors (4541544960).

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

2076882240 is a wasteful number, since it uses less digits than its factorization.

2076882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2076882240 is about 45572.8234806666. The cubic root of 2076882240 is about 1275.8627486404.

The spelling of 2076882240 in words is "two billion, seventy-six million, eight hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 281 320 480 562 843 960 1124 1405 1686 2248 2810 3372 4215 4496 5620 6744 7699 8430 8992 11240 13488 15398 16860 17984 22480 23097 26976 30796 33720 38495 44960 46194 53952 61592 67440 76990 89920 92388 115485 123184 134880 153980 184776 230970 246368 269760 307960 369552 461940 492736 615920 739104 923880 1231840 1478208 1847760 2163419 2463680 3695520 4326838 6490257 7391040 8653676 10817095 12980514 17307352 21634190 25961028 32451285 34614704 43268380 51922056 64902570 69229408 86536760 103844112 129805140 138458816 173073520 207688224 259610280 346147040 415376448 519220560 692294080 1038441120 2076882240