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1026018420 = 2235712771913
BaseRepresentation
bin111101001001111…
…100110001110100
32122111122010200020
4331021330301310
54100130042140
6245451045140
734266004230
oct7511746164
92574563606
101026018420
11487184909
122477407b0
13134749abb
149a3a15c0
15601206d0
hex3d27cc74

1026018420 has 96 divisors (see below), whose sum is σ = 3287547648. Its totient is φ = 234212352.

The previous prime is 1026018419. The next prime is 1026018443. The reversal of 1026018420 is 248106201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 535384 + ... + 537296.

It is an arithmetic number, because the mean of its divisors is an integer number (34245288).

Almost surely, 21026018420 is an apocalyptic number.

1026018420 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 1026018420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643773824).

1026018420 is an abundant number, since it is smaller than the sum of its proper divisors (2261529228).

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

1026018420 is a wasteful number, since it uses less digits than its factorization.

1026018420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1026018420 is about 32031.5222866476. The cubic root of 1026018420 is about 1008.5986578308.

It can be divided in two parts, 10260 and 18420, that added together give a triangular number (28680 = T239).

The spelling of 1026018420 in words is "one billion, twenty-six million, eighteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1277 1913 2554 3826 3831 5108 5739 6385 7652 7662 8939 9565 11478 12770 13391 15324 17878 19130 19155 22956 25540 26782 26817 28695 35756 38260 38310 40173 44695 53564 53634 57390 66955 76620 80346 89390 107268 114780 133910 134085 160692 178780 200865 267820 268170 401730 536340 803460 2442901 4885802 7328703 9771604 12214505 14657406 17100307 24429010 29314812 34200614 36643515 48858020 51300921 68401228 73287030 85501535 102601842 146574060 171003070 205203684 256504605 342006140 513009210 1026018420