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2089638420 = 2235535091291
BaseRepresentation
bin111110010001101…
…0101101000010100
312101122000122000120
41330203111220110
513234421412140
6543204111540
7102532430202
oct17443255024
95348018016
102089638420
11982601301
124a39955b0
13273c0084c
1415b750072
15c36bc1d0
hex7c8d5a14

2089638420 has 96 divisors (see below), whose sum is σ = 5977722240. Its totient is φ = 545226240.

The previous prime is 2089638391. The next prime is 2089638427. The reversal of 2089638420 is 248369802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089638427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1617975 + ... + 1619265.

It is an arithmetic number, because the mean of its divisors is an integer number (62267940).

Almost surely, 22089638420 is an apocalyptic number.

2089638420 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 2089638420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988861120).

2089638420 is an abundant number, since it is smaller than the sum of its proper divisors (3888083820).

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

2089638420 is a wasteful number, since it uses less digits than its factorization.

2089638420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2089638420 is about 45712.5630434348. The cubic root of 2089638420 is about 1278.4695290108.

The spelling of 2089638420 in words is "two billion, eighty-nine million, six hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 509 530 636 795 1018 1060 1291 1527 1590 2036 2545 2582 3054 3180 3873 5090 5164 6108 6455 7635 7746 10180 12910 15270 15492 19365 25820 26977 30540 38730 53954 68423 77460 80931 107908 134885 136846 161862 205269 269770 273692 323724 342115 404655 410538 539540 657119 684230 809310 821076 1026345 1314238 1368460 1618620 1971357 2052690 2628476 3285595 3942714 4105380 6571190 7885428 9856785 13142380 19713570 34827307 39427140 69654614 104481921 139309228 174136535 208963842 348273070 417927684 522409605 696546140 1044819210 2089638420