Search a number
-
+
20541380400 = 2432525705939
BaseRepresentation
bin10011001000010111…
…001001011100110000
31222000120020020112200
4103020113021130300
5314032043133100
613234145023200
71325014565262
oct231027113460
958016206480
1020541380400
11879108a142
123b93324b00
131c248ba978
14dcc16db32
15803559e00
hex4c85c9730

20541380400 has 90 divisors (see below), whose sum is σ = 71284308420. Its totient is φ = 5477700480.

The previous prime is 20541380399. The next prime is 20541380467. The reversal of 20541380400 is 408314502.

20541380400 is a `hidden beast` number, since 2 + 0 + 541 + 3 + 80 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2849370 + ... + 2856569.

Almost surely, 220541380400 is an apocalyptic number.

20541380400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20541380400 is an abundant number, since it is smaller than the sum of its proper divisors (50742928020).

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

20541380400 is a wasteful number, since it uses less digits than its factorization.

20541380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705963 (or 5705949 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 20541380400 its reverse (408314502), we get a palindrome (20949694902).

The spelling of 20541380400 in words is "twenty billion, five hundred forty-one million, three hundred eighty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 5705939 11411878 17117817 22823756 28529695 34235634 45647512 51353451 57059390 68471268 85589085 91295024 102706902 114118780 136942536 142648475 171178170 205413804 228237560 256767255 273885072 285296950 342356340 410827608 427945425 456475120 513534510 570593900 684712680 821655216 855890850 1027069020 1141187800 1283836275 1369425360 1711781700 2054138040 2282375600 2567672550 3423563400 4108276080 5135345100 6847126800 10270690200 20541380400