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1120053000 = 233531133941
BaseRepresentation
bin100001011000010…
…1010011100001000
32220001120120212110
41002300222130020
54243213144000
6303050342320
736520202433
oct10260523410
92801516773
101120053000
11525271440
1227312a9a0
1314b082271
14a8a7c81a
15684e7850
hex42c2a708

1120053000 has 128 divisors (see below), whose sum is σ = 3812365440. Its totient is φ = 271520000.

The previous prime is 1120052981. The next prime is 1120053019. The reversal of 1120053000 is 3500211.

It is an interprime number because it is at equal distance from previous prime (1120052981) and next prime (1120053019).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16030 + ... + 49970.

It is an arithmetic number, because the mean of its divisors is an integer number (29784105).

Almost surely, 21120053000 is an apocalyptic number.

1120053000 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 1120053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906182720).

1120053000 is an abundant number, since it is smaller than the sum of its proper divisors (2692312440).

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

1120053000 is a wasteful number, since it uses less digits than its factorization.

1120053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33976 (or 33962 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1120053000 is about 33467.1928909492. The cubic root of 1120053000 is about 1038.5152011944.

Adding to 1120053000 its reverse (3500211), we get a palindrome (1123553211).

The spelling of 1120053000 in words is "one billion, one hundred twenty million, fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 33941 67882 101823 135764 169705 203646 271528 339410 373351 407292 509115 678820 746702 814584 848525 1018230 1120053 1357640 1493404 1697050 1866755 2036460 2240106 2545575 2986808 3394100 3733510 4072920 4242625 4480212 5091150 5600265 6788200 7467020 8485250 8960424 9333775 10182300 11200530 12727875 14934040 16970500 18667550 20364600 22401060 25455750 28001325 33941000 37335100 44802120 46668875 50911500 56002650 74670200 93337750 101823000 112005300 140006625 186675500 224010600 280013250 373351000 560026500 1120053000