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2090204400 = 2435217102461
BaseRepresentation
bin111110010010101…
…1111110011110000
312101200002101101210
41330211133303300
513240043020100
6543224200120
7102540305244
oct17445376360
95350071353
102090204400
11982958559
124a4009040
1327406b34b
1415b85a424
15c377ec50
hex7c95fcf0

2090204400 has 120 divisors (see below), whose sum is σ = 7089550704. Its totient is φ = 524595200.

The previous prime is 2090204381. The next prime is 2090204411. The reversal of 2090204400 is 44020902.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30831 + ... + 71630.

Almost surely, 22090204400 is an apocalyptic number.

2090204400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2090204400 is an abundant number, since it is smaller than the sum of its proper divisors (4999346304).

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

2090204400 is a wasteful number, since it uses less digits than its factorization.

2090204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102499 (or 102488 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2090204400 is about 45718.7532638413. The cubic root of 2090204400 is about 1278.5849433745.

The spelling of 2090204400 in words is "two billion, ninety million, two hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 102461 204922 307383 409844 512305 614766 819688 1024610 1229532 1536915 1639376 1741837 2049220 2459064 2561525 3073830 3483674 4098440 4918128 5123050 5225511 6147660 6967348 7684575 8196880 8709185 10246100 10451022 12295320 13934696 15369150 17418370 20492200 20902044 24590640 26127555 27869392 30738300 34836740 40984400 41804088 43545925 52255110 61476600 69673480 83608176 87091850 104510220 122953200 130637775 139346960 174183700 209020440 261275550 348367400 418040880 522551100 696734800 1045102200 2090204400