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1042033020 = 2235721720849
BaseRepresentation
bin111110000111000…
…010100101111100
32200121202202120120
4332013002211330
54113230024040
6251222214540
734552064100
oct7607024574
92617682516
101042033020
11495222916
12250b84450
13137b661b2
149c56d900
15617357d0
hex3e1c297c

1042033020 has 144 divisors (see below), whose sum is σ = 3593872800. Its totient is φ = 224157696.

The previous prime is 1042033007. The next prime is 1042033033. The reversal of 1042033020 is 203302401.

It is an interprime number because it is at equal distance from previous prime (1042033007) and next prime (1042033033).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39556 + ... + 60404.

It is an arithmetic number, because the mean of its divisors is an integer number (24957450).

Almost surely, 21042033020 is an apocalyptic number.

1042033020 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 1042033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796936400).

1042033020 is an abundant number, since it is smaller than the sum of its proper divisors (2551839780).

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

1042033020 is a wasteful number, since it uses less digits than its factorization.

1042033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20892 (or 20883 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1042033020 is about 32280.5362408991. The cubic root of 1042033020 is about 1013.8191578651.

Adding to 1042033020 its reverse (203302401), we get a palindrome (1245335421).

The spelling of 1042033020 in words is "one billion, forty-two million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1428 1470 1666 1785 2380 2499 2940 3332 3570 4165 4998 7140 8330 9996 12495 16660 20849 24990 41698 49980 62547 83396 104245 125094 145943 208490 250188 291886 312735 354433 416980 437829 583772 625470 708866 729715 875658 1021601 1063299 1250940 1417732 1459430 1751316 1772165 2043202 2126598 2189145 2481031 2918860 3064803 3544330 4086404 4253196 4378290 4962062 5108005 5316495 6129606 7088660 7443093 8756580 9924124 10216010 10632990 12259212 12405155 14886186 15324015 17367217 20432020 21265980 24810310 29772372 30648030 34734434 37215465 49620620 52101651 61296060 69468868 74430930 86836085 104203302 148861860 173672170 208406604 260508255 347344340 521016510 1042033020