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20020010240 = 28529353381
BaseRepresentation
bin10010101001010010…
…010001110100000000
31220200020011220010202
4102221102101310000
5312000110311430
613110322144332
71306054164536
oct225122216400
956606156122
1020020010240
11854385700a
123a687b20a8
131b70892909
14d7cc14156
157c28bed45
hex4a9491d00

20020010240 has 72 divisors (see below), whose sum is σ = 48118748328. Its totient is φ = 7980523520.

The previous prime is 20020010207. The next prime is 20020010243. The reversal of 20020010240 is 4201002002.

It can be written as a sum of positive squares in 4 ways, for example, as 2928108544 + 17091901696 = 54112^2 + 130736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020010243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348350 + ... + 401730.

It is an arithmetic number, because the mean of its divisors is an integer number (668315949).

Almost surely, 220020010240 is an apocalyptic number.

20020010240 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 20020010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24059374164).

20020010240 is an abundant number, since it is smaller than the sum of its proper divisors (28098738088).

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

20020010240 is an equidigital number, since it uses as much as digits as its factorization.

20020010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53695 (or 53681 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20020010240 its reverse (4201002002), we get a palindrome (24221012242).

The spelling of 20020010240 in words is "twenty billion, twenty million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 293 320 586 640 1172 1280 1465 2344 2930 4688 5860 9376 11720 18752 23440 37504 46880 53381 75008 93760 106762 187520 213524 266905 375040 427048 533810 854096 1067620 1708192 2135240 3416384 4270480 6832768 8540960 13665536 15640633 17081920 31281266 34163840 62562532 68327680 78203165 125125064 156406330 250250128 312812660 500500256 625625320 1001000512 1251250640 2002001024 2502501280 4004002048 5005002560 10010005120 20020010240