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1131032240 = 245134092659
BaseRepresentation
bin100001101101010…
…0010111010110000
32220211020101112222
41003122202322300
54304021012430
6304121540212
740012421042
oct10332427260
92824211488
101131032240
11530490298
12276944668
13150427760
14aa2d9a92
15694659e5
hex436a2eb0

1131032240 has 80 divisors (see below), whose sum is σ = 2839922400. Its totient is φ = 416434176.

The previous prime is 1131032237. The next prime is 1131032251. The reversal of 1131032240 is 422301311.

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

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, 424031 + ... + 426689.

It is an arithmetic number, because the mean of its divisors is an integer number (35499030).

Almost surely, 21131032240 is an apocalyptic number.

1131032240 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 1131032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419961200).

1131032240 is an abundant number, since it is smaller than the sum of its proper divisors (1708890160).

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

1131032240 is a wasteful number, since it uses less digits than its factorization.

1131032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3088 counting only the distinct ones).

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

The square root of 1131032240 is about 33630.8227672176. The cubic root of 1131032240 is about 1041.8974974171.

Adding to 1131032240 its reverse (422301311), we get a palindrome (1553333551).

The spelling of 1131032240 in words is "one billion, one hundred thirty-one million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 409 520 818 1040 1636 2045 2659 3272 4090 5317 5318 6544 8180 10634 10636 13295 16360 21268 21272 26585 26590 32720 34567 42536 42544 53170 53180 69134 85072 106340 106360 138268 172835 212680 212720 276536 345670 425360 553072 691340 1087531 1382680 2175062 2765360 4350124 5437655 8700248 10875310 14137903 17400496 21750620 28275806 43501240 56551612 70689515 87002480 113103224 141379030 226206448 282758060 565516120 1131032240