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20560103400 = 23352277123707
BaseRepresentation
bin10011001001011110…
…100100011111101000
31222001212110110200010
4103021132210133220
5314101341302100
613240054211520
71325332665264
oct231136443750
958055413603
1020560103400
1187a0707aa1
123b99653ba0
131c28744a75
14dd08450a4
15805007750
hex4c97a47e8

20560103400 has 96 divisors (see below), whose sum is σ = 63966932640. Its totient is φ = 5462856960.

The previous prime is 20560103341. The next prime is 20560103401. The reversal of 20560103400 is 430106502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20560103401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104347 + ... + 228053.

It is an arithmetic number, because the mean of its divisors is an integer number (666322215).

Almost surely, 220560103400 is an apocalyptic number.

20560103400 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 20560103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31983466320).

20560103400 is an abundant number, since it is smaller than the sum of its proper divisors (43406829240).

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

20560103400 is a wasteful number, since it uses less digits than its factorization.

20560103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124003 (or 123994 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 20560103400 its reverse (430106502), we get a palindrome (20990209902).

The spelling of 20560103400 in words is "twenty billion, five hundred sixty million, one hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 277 300 554 600 831 1108 1385 1662 2216 2770 3324 4155 5540 6648 6925 8310 11080 13850 16620 20775 27700 33240 41550 55400 83100 123707 166200 247414 371121 494828 618535 742242 989656 1237070 1484484 1855605 2474140 2968968 3092675 3711210 4948280 6185350 7422420 9278025 12370700 14844840 18556050 24741400 34266839 37112100 68533678 74224200 102800517 137067356 171334195 205601034 274134712 342668390 411202068 514002585 685336780 822404136 856670975 1028005170 1370673560 1713341950 2056010340 2570012925 3426683900 4112020680 5140025850 6853367800 10280051700 20560103400