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1133210240 = 2753135657
BaseRepresentation
bin100001110001011…
…0110101010000000
32220222100001012122
41003202312222000
54310100211430
6304240343412
740040061641
oct10342665200
92828301178
101133210240
11531738698
12277614b68
13150a0ac06
14aa7056c8
1569745ee5
hex438b6a80

1133210240 has 64 divisors (see below), whose sum is σ = 2718216360. Its totient is φ = 451756032.

The previous prime is 1133210233. The next prime is 1133210251. The reversal of 1133210240 is 420123311.

It can be written as a sum of positive squares in 4 ways, for example, as 281971264 + 851238976 = 16792^2 + 29176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197492 + ... + 203148.

Almost surely, 21133210240 is an apocalyptic number.

1133210240 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 1133210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359108180).

1133210240 is an abundant number, since it is smaller than the sum of its proper divisors (1585006120).

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

1133210240 is an equidigital number, since it uses as much as digits as its factorization.

1133210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1133210240 is about 33663.1882031396. The cubic root of 1133210240 is about 1042.5658537532.

Adding to 1133210240 its reverse (420123311), we get a palindrome (1553333551).

The spelling of 1133210240 in words is "one billion, one hundred thirty-three million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 313 320 626 640 1252 1565 2504 3130 5008 5657 6260 10016 11314 12520 20032 22628 25040 28285 40064 45256 50080 56570 90512 100160 113140 181024 200320 226280 362048 452560 724096 905120 1770641 1810240 3541282 3620480 7082564 8853205 14165128 17706410 28330256 35412820 56660512 70825640 113321024 141651280 226642048 283302560 566605120 1133210240