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1020423144 = 233136774831
BaseRepresentation
bin111100110100100…
…110101111101000
32122010002212101210
4330310212233220
54042212020034
6245131113120
734200311406
oct7464465750
92563085353
101020423144
11484003014
122458a27a0
1313353b0a0
1499746476
155e8b78e9
hex3cd26be8

1020423144 has 64 divisors (see below), whose sum is σ = 2751920640. Its totient is φ = 313447680.

The previous prime is 1020423143. The next prime is 1020423149. The reversal of 1020423144 is 4413240201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020423144.

It is not an unprimeable number, because it can be changed into a prime (1020423143) 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, 208809 + ... + 213639.

It is an arithmetic number, because the mean of its divisors is an integer number (42998760).

Almost surely, 21020423144 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 1020423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375960320).

1020423144 is an abundant number, since it is smaller than the sum of its proper divisors (1731497496).

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

1020423144 is a wasteful number, since it uses less digits than its factorization.

1020423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1020423144 is about 31944.0627347243. The cubic root of 1020423144 is about 1006.7618884727.

Adding to 1020423144 its reverse (4413240201), we get a palindrome (5433663345).

The spelling of 1020423144 in words is "one billion, twenty million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 677 1354 2031 2708 4062 4831 5416 8124 8801 9662 14493 16248 17602 19324 26403 28986 35204 38648 52806 57972 62803 70408 105612 115944 125606 188409 211224 251212 376818 502424 753636 1507272 3270587 6541174 9811761 13082348 19623522 26164696 39247044 42517631 78494088 85035262 127552893 170070524 255105786 340141048 510211572 1020423144