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2161799040 = 27354672411
BaseRepresentation
bin1000000011011010…
…0110111110000000
312120122210202210010
42000312212332000
513411410032130
6554302504520
7104366663052
oct20066467600
95518722703
102161799040
11a0a308685
12503b95140
13285b4793b
141671758d2
15c9bc30b0
hex80da6f80

2161799040 has 128 divisors (see below), whose sum is σ = 6908353920. Its totient is φ = 575006720.

The previous prime is 2161799027. The next prime is 2161799047. The reversal of 2161799040 is 409971612.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2161799040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161799047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895435 + ... + 897845.

It is an arithmetic number, because the mean of its divisors is an integer number (53971515).

Almost surely, 22161799040 is an apocalyptic number.

2161799040 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 2161799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454176960).

2161799040 is an abundant number, since it is smaller than the sum of its proper divisors (4746554880).

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

2161799040 is a wasteful number, since it uses less digits than its factorization.

2161799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 2161799040 is about 46495.1507148864. The cubic root of 2161799040 is about 1293.0195953723.

The spelling of 2161799040 in words is "two billion, one hundred sixty-one million, seven hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 467 480 640 934 960 1401 1868 1920 2335 2411 2802 3736 4670 4822 5604 7005 7233 7472 9340 9644 11208 12055 14010 14466 14944 18680 19288 22416 24110 28020 28932 29888 36165 37360 38576 44832 48220 56040 57864 59776 72330 74720 77152 89664 96440 112080 115728 144660 149440 154304 179328 192880 224160 231456 289320 298880 308608 385760 448320 462912 578640 771520 896640 925824 1125937 1157280 1543040 2251874 2314560 3377811 4503748 4629120 5629685 6755622 9007496 11259370 13511244 16889055 18014992 22518740 27022488 33778110 36029984 45037480 54044976 67556220 72059968 90074960 108089952 135112440 144119936 180149920 216179904 270224880 360299840 432359808 540449760 720599680 1080899520 2161799040