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20545404240 = 2435241355211
BaseRepresentation
bin10011001000100110…
…011111110101010000
31222000211210200012210
4103020212133311100
5314034110413430
613234411152120
71325064024504
oct231046376520
958024720183
1020545404240
118793388329
123b94745640
131c2569933a
14dcc8da304
15803aa22b0
hex4c899fd50

20545404240 has 80 divisors (see below), whose sum is σ = 63955210176. Its totient is φ = 5456025600.

The previous prime is 20545404239. The next prime is 20545404251. The reversal of 20545404240 is 4240454502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×205454042402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20545404198 and 20545404207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119766 + ... + 235445.

Almost surely, 220545404240 is an apocalyptic number.

20545404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20545404240 is an abundant number, since it is smaller than the sum of its proper divisors (43409805936).

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

20545404240 is a wasteful number, since it uses less digits than its factorization.

20545404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355468 (or 355462 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 20545404240 its reverse (4240454502), we get a palindrome (24785858742).

The spelling of 20545404240 in words is "twenty billion, five hundred forty-five million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 482 723 964 1205 1446 1928 2410 2892 3615 3856 4820 5784 7230 9640 11568 14460 19280 28920 57840 355211 710422 1065633 1420844 1776055 2131266 2841688 3552110 4262532 5328165 5683376 7104220 8525064 10656330 14208440 17050128 21312660 28416880 42625320 85250640 85605851 171211702 256817553 342423404 428029255 513635106 684846808 856058510 1027270212 1284087765 1369693616 1712117020 2054540424 2568175530 3424234040 4109080848 5136351060 6848468080 10272702120 20545404240