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3876832680 = 233576137529
BaseRepresentation
bin1110011100010011…
…1100010110101000
3101000011221111122120
43213010330112220
530414432121210
61440405551240
7165033351120
oct34704742650
911004844576
103876832680
11170a409856
12902415520
1349a258c46
1428ac51c80
1517a546270
hexe713c5a8

3876832680 has 128 divisors (see below), whose sum is σ = 13315449600. Its totient is φ = 884570112.

The previous prime is 3876832679. The next prime is 3876832691. The reversal of 3876832680 is 862386783.

3876832680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 511156 + ... + 518684.

It is an arithmetic number, because the mean of its divisors is an integer number (104026950).

Almost surely, 23876832680 is an apocalyptic number.

3876832680 is a gapful number since it is divisible by the number (30) 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 3876832680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657724800).

3876832680 is an abundant number, since it is smaller than the sum of its proper divisors (9438616920).

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

3876832680 is a wasteful number, since it uses less digits than its factorization.

3876832680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 3876832680 is about 62264.2166898452. The cubic root of 3876832680 is about 1570.9379063298.

The spelling of 3876832680 in words is "three billion, eight hundred seventy-six million, eight hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 613 840 1226 1839 2452 3065 3678 4291 4904 6130 7356 7529 8582 9195 12260 12873 14712 15058 17164 18390 21455 22587 24520 25746 30116 34328 36780 37645 42910 45174 51492 52703 60232 64365 73560 75290 85820 90348 102984 105406 112935 128730 150580 158109 171640 180696 210812 225870 257460 263515 301160 316218 421624 451740 514920 527030 632436 790545 903480 1054060 1264872 1581090 2108120 3162180 4615277 6324360 9230554 13845831 18461108 23076385 27691662 32306939 36922216 46152770 55383324 64613878 69229155 92305540 96920817 110766648 129227756 138458310 161534695 184611080 193841634 258455512 276916620 323069390 387683268 484604085 553833240 646138780 775366536 969208170 1292277560 1938416340 3876832680