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1033440020 = 2251921112889
BaseRepresentation
bin111101100110010…
…000101100010100
32200000121012012022
4331212100230110
54104030040040
6250314112312
734416044444
oct7546205424
92600535168
101033440020
11490393868
1224a11b698
13136147b92
149b374124
1560ad96b5
hex3d990b14

1033440020 has 48 divisors (see below), whose sum is σ = 2295451200. Its totient is φ = 389733120.

The previous prime is 1033439999. The next prime is 1033440029. The reversal of 1033440020 is 200443301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033440029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73736 + ... + 86624.

It is an arithmetic number, because the mean of its divisors is an integer number (47821900).

Almost surely, 21033440020 is an apocalyptic number.

1033440020 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 1033440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147725600).

1033440020 is an abundant number, since it is smaller than the sum of its proper divisors (1262011180).

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

1033440020 is a wasteful number, since it uses less digits than its factorization.

1033440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13128 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1033440020 is about 32147.1619276103. The cubic root of 1033440020 is about 1011.0246830372.

Adding to 1033440020 its reverse (200443301), we get a palindrome (1233883321).

The spelling of 1033440020 in words is "one billion, thirty-three million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 211 380 422 844 1055 2110 4009 4220 8018 12889 16036 20045 25778 40090 51556 64445 80180 128890 244891 257780 489782 979564 1224455 2448910 2719579 4897820 5439158 10878316 13597895 27195790 51672001 54391580 103344002 206688004 258360005 516720010 1033440020