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2020432896 = 2103424359
BaseRepresentation
bin111100001101101…
…0101110000000000
312012210210121220000
41320123111300000
513114212323041
6532252520000
7101032252626
oct17033256000
95183717800
102020432896
11947533159
12484780000
1326277c831
14152497516
15bc59bbb6
hex786d5c00

2020432896 has 110 divisors (see below), whose sum is σ = 6033655320. Its totient is φ = 673449984.

The previous prime is 2020432889. The next prime is 2020432901. The reversal of 2020432896 is 6982340202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2020432896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 70765 + ... + 95123.

It is an arithmetic number, because the mean of its divisors is an integer number (54851412).

Almost surely, 22020432896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016827660).

2020432896 is an abundant number, since it is smaller than the sum of its proper divisors (4013222424).

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

2020432896 is an equidigital number, since it uses as much as digits as its factorization.

2020432896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24391 (or 24364 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2020432896 is about 44949.2257552897. The cubic root of 2020432896 is about 1264.1971598664.

The spelling of 2020432896 in words is "two billion, twenty million, four hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 24359 27648 41472 48718 73077 82944 97436 146154 194872 219231 292308 389744 438462 584616 657693 779488 876924 1169232 1315386 1558976 1753848 1973079 2338464 2630772 3117952 3507696 3946158 4676928 5261544 6235904 7015392 7892316 9353856 10523088 12471808 14030784 15784632 18707712 21046176 24943616 28061568 31569264 37415424 42092352 56123136 63138528 74830848 84184704 112246272 126277056 168369408 224492544 252554112 336738816 505108224 673477632 1010216448 2020432896