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20240200420 = 22511974432141
BaseRepresentation
bin10010110110011010…
…001111001011100100
31221020120111201021121
4102312122033023210
5312422442403140
613144225423324
71314366602446
oct226632171344
957216451247
1020240200420
11864707a170
123b0a49ab44
131ba7398a6b
14da0170496
157d6db664a
hex4b668f2e4

20240200420 has 96 divisors (see below), whose sum is σ = 46974162816. Its totient is φ = 7264358400.

The previous prime is 20240200411. The next prime is 20240200441. The reversal of 20240200420 is 2400204202.

It is a junction number, because it is equal to n+sod(n) for n = 20240200394 and 20240200403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9452550 + ... + 9454690.

It is an arithmetic number, because the mean of its divisors is an integer number (489314196).

Almost surely, 220240200420 is an apocalyptic number.

20240200420 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 20240200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23487081408).

20240200420 is an abundant number, since it is smaller than the sum of its proper divisors (26733962396).

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

20240200420 is a wasteful number, since it uses less digits than its factorization.

20240200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20240200420 its reverse (2400204202), we get a palindrome (22640404622).

The spelling of 20240200420 in words is "twenty billion, two hundred forty million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 443 485 886 970 1067 1772 1940 2134 2141 2215 4268 4282 4430 4873 5335 8564 8860 9746 10670 10705 19492 21340 21410 23551 24365 42820 42971 47102 48730 85942 94204 97460 117755 171884 207677 214855 235510 415354 429710 471020 472681 830708 859420 945362 948463 1038385 1890724 1896926 2076770 2284447 2363405 3793852 4153540 4568894 4726810 4742315 9137788 9453620 9484630 10433093 11422235 18969260 20866186 22844470 41732372 45688940 52165465 92000911 104330930 184001822 208661860 368003644 460004555 920009110 1012010021 1840018220 2024020042 4048040084 5060050105 10120100210 20240200420