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1420124420 = 22511132321589
BaseRepresentation
bin101010010100101…
…0110000100000100
310122222012210110202
41110221112010010
510402022440140
6352530110032
750122600301
oct12451260404
93588183422
101420124420
11669694550
1233771b318
131982a6710
14d68700a8
1584a1c915
hex54a56104

1420124420 has 96 divisors (see below), whose sum is σ = 3656136960. Its totient is φ = 455938560.

The previous prime is 1420124401. The next prime is 1420124423. The reversal of 1420124420 is 244210241.

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

It is a junction number, because it is equal to n+sod(n) for n = 1420124392 and 1420124401.

It is not an unprimeable number, because it can be changed into a prime (1420124423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54986 + ... + 76574.

It is an arithmetic number, because the mean of its divisors is an integer number (38084760).

Almost surely, 21420124420 is an apocalyptic number.

1420124420 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 1420124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828068480).

1420124420 is an abundant number, since it is smaller than the sum of its proper divisors (2236012540).

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

1420124420 is a wasteful number, since it uses less digits than its factorization.

1420124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21645 (or 21643 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1420124420 is about 37684.5382086606. The cubic root of 1420124420 is about 1124.0236915765.

Adding to 1420124420 its reverse (244210241), we get a palindrome (1664334661).

The spelling of 1420124420 in words is "one billion, four hundred twenty million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 130 143 220 230 253 260 286 299 460 506 572 598 715 1012 1196 1265 1430 1495 2530 2860 2990 3289 5060 5980 6578 13156 16445 21589 32890 43178 65780 86356 107945 215890 237479 280657 431780 474958 496547 561314 949916 993094 1122628 1187395 1403285 1986188 2374790 2482735 2806570 3087227 4749580 4965470 5462017 5613140 6174454 6455111 9930940 10924034 12348908 12910222 15436135 21848068 25820444 27310085 30872270 32275555 54620170 61744540 64551110 71006221 109240340 129102220 142012442 284024884 355031105 710062210 1420124420