Search a number
-
+
23520020400 = 2432526533339
BaseRepresentation
bin10101111001111001…
…110000011110110000
32020201011001211110200
4111321321300132300
5341132111123100
614445511355200
71461563606022
oct257171603660
966634054420
1023520020400
119a7a490498
124684982b00
1322aaa33a46
1411d19b6012
15929ccee00
hex579e707b0

23520020400 has 90 divisors (see below), whose sum is σ = 81621016620. Its totient is φ = 6272004480.

The previous prime is 23520020369. The next prime is 23520020411. The reversal of 23520020400 is 402002532.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 3263070 + ... + 3270269.

Almost surely, 223520020400 is an apocalyptic number.

23520020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23520020400 is an abundant number, since it is smaller than the sum of its proper divisors (58100996220).

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

23520020400 is a wasteful number, since it uses less digits than its factorization.

23520020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533363 (or 6533349 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 23520020400 its reverse (402002532), we get a palindrome (23922022932).

The spelling of 23520020400 in words is "twenty-three billion, five hundred twenty million, twenty 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 6533339 13066678 19600017 26133356 32666695 39200034 52266712 58800051 65333390 78400068 98000085 104533424 117600102 130666780 156800136 163333475 196000170 235200204 261333560 294000255 313600272 326666950 392000340 470400408 490000425 522667120 588000510 653333900 784000680 940800816 980000850 1176001020 1306667800 1470001275 1568001360 1960001700 2352002040 2613335600 2940002550 3920003400 4704004080 5880005100 7840006800 11760010200 23520020400