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1041321060 = 22325131726177
BaseRepresentation
bin111110000100010…
…100110001100100
32200120102120221200
4332010110301210
54113034233220
6251155042500
734543040313
oct7604246144
92616376850
101041321060
11494886a1a
122508a0430
13137977110
149c42627a
1561644890
hex3e114c64

1041321060 has 144 divisors (see below), whose sum is σ = 3601883376. Its totient is φ = 241238016.

The previous prime is 1041321053. The next prime is 1041321101. The reversal of 1041321060 is 601231401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 31606884 + 1009714176 = 5622^2 + 31776^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26692 + ... + 52868.

It is an arithmetic number, because the mean of its divisors is an integer number (25013079).

Almost surely, 21041321060 is an apocalyptic number.

1041321060 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 1041321060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800941688).

1041321060 is an abundant number, since it is smaller than the sum of its proper divisors (2560562316).

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

1041321060 is a wasteful number, since it uses less digits than its factorization.

1041321060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26222 (or 26217 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1041321060 is about 32269.5066587638. The cubic root of 1041321060 is about 1013.5882108849.

Adding to 1041321060 its reverse (601231401), we get a palindrome (1642552461).

The spelling of 1041321060 in words is "one billion, forty-one million, three hundred twenty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 26177 39780 52354 78531 104708 130885 157062 235593 261770 314124 340301 392655 445009 471186 523540 680602 785310 890018 942372 1020903 1177965 1335027 1361204 1570620 1701505 1780036 2041806 2225045 2355930 2670054 3062709 3403010 4005081 4083612 4450090 4711860 5104515 5340108 5785117 6125418 6675135 6806020 8010162 8900180 10209030 11570234 12250836 13350270 15313545 16020324 17355351 20025405 20418060 23140468 26700540 28925585 30627090 34710702 40050810 52066053 57851170 61254180 69421404 80101620 86776755 104132106 115702340 173553510 208264212 260330265 347107020 520660530 1041321060