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2090653400 = 2352117431279
BaseRepresentation
bin111110010011100…
…1101011011011000
312101200221012022102
41330213031123120
513240201402100
6543241542532
7102544155263
oct17447153330
95350835272
102090653400
11983134930
124a41a4a48
13274197824
1415b935cda
15c381ccd5
hex7c9cd6d8

2090653400 has 96 divisors (see below), whose sum is σ = 5313945600. Its totient is φ = 758620800.

The previous prime is 2090653399. The next prime is 2090653403. The reversal of 2090653400 is 43560902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090653403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1633961 + ... + 1635239.

It is an arithmetic number, because the mean of its divisors is an integer number (55353600).

Almost surely, 22090653400 is an apocalyptic number.

2090653400 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 2090653400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656972800).

2090653400 is an abundant number, since it is smaller than the sum of its proper divisors (3223292200).

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

2090653400 is a wasteful number, since it uses less digits than its factorization.

2090653400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2090653400 is about 45723.6634577764. The cubic root of 2090653400 is about 1278.6764884147.

The spelling of 2090653400 in words is "two billion, ninety million, six hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 743 1100 1279 1486 2200 2558 2972 3715 5116 5944 6395 7430 8173 10232 12790 14069 14860 16346 18575 25580 28138 29720 31975 32692 37150 40865 51160 56276 63950 65384 70345 74300 81730 112552 127900 140690 148600 163460 204325 255800 281380 326920 351725 408650 562760 703450 817300 950297 1406900 1634600 1900594 2813800 3801188 4751485 7602376 9502970 10453267 19005940 20906534 23757425 38011880 41813068 47514850 52266335 83626136 95029700 104532670 190059400 209065340 261331675 418130680 522663350 1045326700 2090653400