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1020001424 = 2413231012111
BaseRepresentation
bin111100110010111…
…111110010010000
32122002022102220112
4330302333302100
54042110021144
6245114100452
734163604041
oct7462776220
92562272815
101020001424
11483845192
1224571a728
13133421150
14996768c8
155e83299e
hex3ccbfc90

1020001424 has 80 divisors (see below), whose sum is σ = 2243856384. Its totient is φ = 445632000.

The previous prime is 1020001421. The next prime is 1020001439. The reversal of 1020001424 is 4241000201.

It is a super-3 number, since 3×10200014243 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020001399 and 1020001408.

It is not an unprimeable number, because it can be changed into a prime (1020001421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482129 + ... + 484239.

Almost surely, 21020001424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121928192).

1020001424 is an abundant number, since it is smaller than the sum of its proper divisors (1223854960).

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

1020001424 is a wasteful number, since it uses less digits than its factorization.

1020001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1020001424 is about 31937.4611389196. The cubic root of 1020001424 is about 1006.6231780013.

Adding to 1020001424 its reverse (4241000201), we get a palindrome (5261001625).

The spelling of 1020001424 in words is "one billion, twenty million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 101 104 184 202 208 299 368 404 598 808 1196 1313 1616 2111 2323 2392 2626 4222 4646 4784 5252 8444 9292 10504 16888 18584 21008 27443 30199 33776 37168 48553 54886 60398 97106 109772 120796 194212 213211 219544 241592 388424 426422 439088 483184 631189 776848 852844 1262378 1705688 2524756 2771743 3411376 4903853 5049512 5543486 9807706 10099024 11086972 19615412 22173944 39230824 44347888 63750089 78461648 127500178 255000356 510000712 1020001424