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1210024420 = 2251129892131
BaseRepresentation
bin100100000011111…
…1000000111100100
310010022212121110021
41020013320013210
54434231240140
6320023004524
741662015663
oct11007700744
93108777407
101210024420
11571033290
12299299744
131638c41a7
14b69bcdda
157136ab4a
hex481f81e4

1210024420 has 96 divisors (see below), whose sum is σ = 2901225600. Its totient is φ = 419865600.

The previous prime is 1210024399. The next prime is 1210024423. The reversal of 1210024420 is 244200121.

It is a junction number, because it is equal to n+sod(n) for n = 1210024394 and 1210024403.

It is not an unprimeable number, because it can be changed into a prime (1210024423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 566755 + ... + 568885.

It is an arithmetic number, because the mean of its divisors is an integer number (30221100).

Almost surely, 21210024420 is an apocalyptic number.

1210024420 is a gapful number since it is divisible by the number (10) 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 1210024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450612800).

1210024420 is an abundant number, since it is smaller than the sum of its proper divisors (1691201180).

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

1210024420 is a wasteful number, since it uses less digits than its factorization.

1210024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1210024420 is about 34785.4052729014. The cubic root of 1210024420 is about 1065.6094053153.

Adding to 1210024420 its reverse (244200121), we get a palindrome (1454224541).

The spelling of 1210024420 in words is "one billion, two hundred ten million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 89 110 116 145 178 220 290 319 356 445 580 638 890 979 1276 1595 1780 1958 2131 2581 3190 3916 4262 4895 5162 6380 8524 9790 10324 10655 12905 19580 21310 23441 25810 28391 42620 46882 51620 56782 61799 93764 113564 117205 123598 141955 189659 234410 247196 283910 308995 379318 468820 567820 617990 679789 758636 948295 1235980 1359578 1896590 2086249 2719156 3398945 3793180 4172498 5500111 6797890 8344996 10431245 11000222 13595780 20862490 22000444 27500555 41724980 55001110 60501221 110002220 121002442 242004884 302506105 605012210 1210024420