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20403304040 = 2357213974891
BaseRepresentation
bin10011000000001000…
…011011011001101000
31221122221102020101102
4103000020123121220
5313241221212130
613212333340532
71321420136300
oct230010333150
957587366342
1020403304040
118720151349
123b55037748
131c02105092
14db7aaa600
157e6383645
hex4c021b668

20403304040 has 96 divisors (see below), whose sum is σ = 53787434400. Its totient is φ = 6944999040.

The previous prime is 20403304039. The next prime is 20403304079. The reversal of 20403304040 is 4040330402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 234995 + ... + 309885.

It is an arithmetic number, because the mean of its divisors is an integer number (560285775).

Almost surely, 220403304040 is an apocalyptic number.

20403304040 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 20403304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26893717200).

20403304040 is an abundant number, since it is smaller than the sum of its proper divisors (33384130360).

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

20403304040 is a wasteful number, since it uses less digits than its factorization.

20403304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75055 (or 75044 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 20403304040 its reverse (4040330402), we get a palindrome (24443634442).

The spelling of 20403304040 in words is "twenty billion, four hundred three million, three hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 139 140 196 245 278 280 392 490 556 695 973 980 1112 1390 1946 1960 2780 3892 4865 5560 6811 7784 9730 13622 19460 27244 34055 38920 54488 68110 74891 136220 149782 272440 299564 374455 524237 599128 748910 1048474 1497820 2096948 2621185 2995640 3669659 4193896 5242370 7339318 10409849 10484740 14678636 18348295 20819698 20969480 29357272 36696590 41639396 52049245 72868943 73393180 83278792 104098490 145737886 146786360 208196980 291475772 364344715 416393960 510082601 582951544 728689430 1020165202 1457378860 2040330404 2550413005 2914757720 4080660808 5100826010 10201652020 20403304040