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1053361320 = 2335111017901
BaseRepresentation
bin111110110010010…
…000010010101000
32201102002022002020
4332302100102220
54124130030240
6252305104440
735050265154
oct7662202250
92642068066
101053361320
114a065aa50
12254928120
1313a30152b
149dc7c064
15627220d0
hex3ec904a8

1053361320 has 128 divisors (see below), whose sum is σ = 3481937280. Its totient is φ = 252800000.

The previous prime is 1053361301. The next prime is 1053361333. The reversal of 1053361320 is 231633501.

It is a happy number.

It is a super-2 number, since 2×10533613202 = 2219140140944284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 129370 + ... + 137270.

It is an arithmetic number, because the mean of its divisors is an integer number (27202635).

Almost surely, 21053361320 is an apocalyptic number.

1053361320 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 1053361320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740968640).

1053361320 is an abundant number, since it is smaller than the sum of its proper divisors (2428575960).

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

1053361320 is a wasteful number, since it uses less digits than its factorization.

1053361320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1053361320 is about 32455.5283426414. The cubic root of 1053361320 is about 1017.4797835592.

Adding to 1053361320 its reverse (231633501), we get a palindrome (1284994821).

The spelling of 1053361320 in words is "one billion, fifty-three million, three hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 7901 8888 11110 12120 13332 15802 16665 22220 23703 26664 31604 33330 39505 44440 47406 63208 66660 79010 86911 94812 118515 133320 158020 173822 189624 237030 260733 316040 347644 434555 474060 521466 695288 798001 869110 948120 1042932 1303665 1596002 1738220 2085864 2394003 2607330 3192004 3476440 3990005 4788006 5214660 6384008 7980010 8778011 9576012 10429320 11970015 15960020 17556022 19152024 23940030 26334033 31920040 35112044 43890055 47880060 52668066 70224088 87780110 95760120 105336132 131670165 175560220 210672264 263340330 351120440 526680660 1053361320