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20400206460 = 2235834096427
BaseRepresentation
bin10010111111111100…
…100111001001111100
31221122201120212022020
4102333330213021330
5313234423101320
613212143120140
71321351615404
oct227774471174
957581525266
1020400206460
118719426067
123b53ba3050
131c0158c1aa
14db7501804
157e5e70940
hex4bff2727c

20400206460 has 48 divisors (see below), whose sum is σ = 57808791936. Its totient is φ = 5374510912.

The previous prime is 20400206443. The next prime is 20400206461. The reversal of 20400206460 is 6460200402.

It is a super-2 number, since 2×204002064602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20400206460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400206461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2043234 + ... + 2053193.

It is an arithmetic number, because the mean of its divisors is an integer number (1204349832).

Almost surely, 220400206460 is an apocalyptic number.

20400206460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400206460 is an abundant number, since it is smaller than the sum of its proper divisors (37408585476).

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

20400206460 is a wasteful number, since it uses less digits than its factorization.

20400206460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096522 (or 4096520 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20400206460 its reverse (6460200402), we get a palindrome (26860406862).

The spelling of 20400206460 in words is "twenty billion, four hundred million, two hundred six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 4096427 8192854 12289281 16385708 20482135 24578562 40964270 49157124 61446405 81928540 122892810 245785620 340003441 680006882 1020010323 1360013764 1700017205 2040020646 3400034410 4080041292 5100051615 6800068820 10200103230 20400206460