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2076107000 = 235311375101
BaseRepresentation
bin111101110111110…
…1110000011111000
312100200120011101212
41323233232003320
513222440411000
6542002102252
7102306422042
oct17357560370
95320504355
102076107000
119759a9a10
1249b34a988
132711737a6
14159a2aa92
15c23e7c35
hex7bbee0f8

2076107000 has 128 divisors (see below), whose sum is σ = 5444038080. Its totient is φ = 734400000.

The previous prime is 2076106999. The next prime is 2076107017. The reversal of 2076107000 is 7016702.

It is a happy number.

It is a congruent number.

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, 404450 + ... + 409550.

Almost surely, 22076107000 is an apocalyptic number.

2076107000 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 2076107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722019040).

2076107000 is an abundant number, since it is smaller than the sum of its proper divisors (3367931080).

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

2076107000 is a wasteful number, since it uses less digits than its factorization.

2076107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 2076107000 is about 45564.3171791260. The cubic root of 2076107000 is about 1275.7039813447.

The spelling of 2076107000 in words is "two billion, seventy-six million, one hundred seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 125 148 185 200 220 250 275 296 370 407 440 500 550 740 814 925 1000 1100 1375 1480 1628 1850 2035 2200 2750 3256 3700 4070 4625 5101 5500 7400 8140 9250 10175 10202 11000 16280 18500 20350 20404 25505 37000 40700 40808 50875 51010 56111 81400 101750 102020 112222 127525 188737 203500 204040 224444 255050 280555 377474 407000 448888 510100 561110 637625 754948 943685 1020200 1122220 1275250 1402775 1509896 1887370 2076107 2244440 2550500 2805550 3774740 4152214 4718425 5101000 5611100 7013875 7549480 8304428 9436850 10380535 11222200 14027750 16608856 18873700 20761070 23592125 28055500 37747400 41522140 47184250 51902675 56111000 83044280 94368500 103805350 188737000 207610700 259513375 415221400 519026750 1038053500 2076107000