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1042221040 = 245717831319
BaseRepresentation
bin111110000111110…
…000011111110000
32200122010022111021
4332013300133300
54113302033130
6251230225224
734553506210
oct7607603760
92618108437
101042221040
11495341103
12251055214
13137c00953
149c5bc240
156177137a
hex3e1f07f0

1042221040 has 160 divisors (see below), whose sum is σ = 2969809920. Its totient is φ = 332009472.

The previous prime is 1042221031. The next prime is 1042221043. The reversal of 1042221040 is 401222401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042221043) 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 31 ways as a sum of consecutive naturals, for example, 789501 + ... + 790819.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 21042221040 is an apocalyptic number.

1042221040 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 1042221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

1042221040 is an abundant number, since it is smaller than the sum of its proper divisors (1927588880).

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

1042221040 is a wasteful number, since it uses less digits than its factorization.

1042221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1042221040 is about 32283.4483907776. The cubic root of 1042221040 is about 1013.8801306016.

Adding to 1042221040 its reverse (401222401), we get a palindrome (1443443441).

The spelling of 1042221040 in words is "one billion, forty-two million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 83 85 112 119 136 140 166 170 238 272 280 332 340 415 476 560 581 595 664 680 830 952 1162 1190 1319 1328 1360 1411 1660 1904 2324 2380 2638 2822 2905 3320 4648 4760 5276 5644 5810 6595 6640 7055 9233 9296 9520 9877 10552 11288 11620 13190 14110 18466 19754 21104 22423 22576 23240 26380 28220 36932 39508 44846 46165 46480 49385 52760 56440 73864 79016 89692 92330 98770 105520 109477 112115 112880 147728 156961 158032 179384 184660 197540 218954 224230 313922 358768 369320 395080 437908 448460 547385 627844 738640 766339 784805 790160 875816 896920 1094770 1255688 1532678 1569610 1751632 1793840 1861109 2189540 2511376 3065356 3139220 3722218 3831695 4379080 6130712 6278440 7444436 7663390 8758160 9305545 12261424 12556880 13027763 14888872 15326780 18611090 26055526 29777744 30653560 37222180 52111052 61307120 65138815 74444360 104222104 130277630 148888720 208444208 260555260 521110520 1042221040