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1055085360 = 24357659953
BaseRepresentation
bin111110111000110…
…101001100110000
32201112022220000120
4332320311030300
54130100212420
6252410050240
735101035420
oct7670651460
92645286016
101055085360
114a162827a
12255419980
1313a786184
14a01aa480
1562962d40
hex3ee35330

1055085360 has 160 divisors (see below), whose sum is σ = 3747617280. Its totient is φ = 240543744.

The previous prime is 1055085319. The next prime is 1055085379. The reversal of 1055085360 is 635805501.

It is a super-2 number, since 2×10550853602 = 2226410233772659200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106644 + ... + 1107596.

It is an arithmetic number, because the mean of its divisors is an integer number (23422608).

Almost surely, 21055085360 is an apocalyptic number.

1055085360 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 1055085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873808640).

1055085360 is an abundant number, since it is smaller than the sum of its proper divisors (2692531920).

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

1055085360 is a wasteful number, since it uses less digits than its factorization.

1055085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 1055085360 is about 32482.0775197646. The cubic root of 1055085360 is about 1018.0345851770.

The spelling of 1055085360 in words is "one billion, fifty-five million, eighty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 659 840 953 1318 1680 1906 1977 2636 2859 3295 3812 3954 4613 4765 5272 5718 6590 6671 7624 7908 9226 9530 9885 10544 11436 13180 13342 13839 14295 15248 15816 18452 19060 19770 20013 22872 23065 26360 26684 27678 28590 31632 33355 36904 38120 39540 40026 45744 46130 52720 53368 55356 57180 66710 69195 73808 76240 79080 80052 92260 100065 106736 110712 114360 133420 138390 158160 160104 184520 200130 221424 228720 266840 276780 320208 369040 400260 533680 553560 628027 800520 1107120 1256054 1601040 1884081 2512108 3140135 3768162 4396189 5024216 6280270 7536324 8792378 9420405 10048432 12560540 13188567 15072648 17584756 18840810 21980945 25121080 26377134 30145296 35169512 37681620 43961890 50242160 52754268 65942835 70339024 75363240 87923780 105508536 131885670 150726480 175847560 211017072 263771340 351695120 527542680 1055085360