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1163242000 = 24531734213
BaseRepresentation
bin100010101010101…
…1010101000010000
310000001211211001001
41011111122220100
54340242221000
6311232151344
740553252044
oct10525325020
93001754031
101163242000
1154768aa28
12285698554
13156cc449b
14b06c2024
156c1c946a
hex4555aa10

1163242000 has 80 divisors (see below), whose sum is σ = 2978260272. Its totient is φ = 437913600.

The previous prime is 1163241991. The next prime is 1163242019. The reversal of 1163242000 is 2423611.

It can be written as a sum of positive squares in 8 ways, for example, as 68161536 + 1095080464 = 8256^2 + 33092^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16894 + ... + 51106.

Almost surely, 21163242000 is an apocalyptic number.

1163242000 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 1163242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489130136).

1163242000 is an abundant number, since it is smaller than the sum of its proper divisors (1815018272).

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

1163242000 is a wasteful number, since it uses less digits than its factorization.

1163242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34253 (or 34237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1163242000 is about 34106.3337226387. Note that the first 3 decimals coincide. The cubic root of 1163242000 is about 1051.6955221528.

Adding to 1163242000 its reverse (2423611), we get a palindrome (1165665611).

The spelling of 1163242000 in words is "one billion, one hundred sixty-three million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 34213 68426 136852 171065 273704 342130 547408 581621 684260 855325 1163242 1368520 1710650 2326484 2737040 2908105 3421300 4276625 4652968 5816210 6842600 8553250 9305936 11632420 13685200 14540525 17106500 23264840 29081050 34213000 46529680 58162100 68426000 72702625 116324200 145405250 232648400 290810500 581621000 1163242000