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1134241320 = 233523616737
BaseRepresentation
bin100001110011011…
…0010011000101000
32221001021102120210
41003212302120220
54310331210240
6304314421120
740051615002
oct10346623050
92831242523
101134241320
11532282323
12277a317a0
13150cac314
14aa8d3372
156989b780
hex439b2628

1134241320 has 128 divisors (see below), whose sum is σ = 3609411840. Its totient is φ = 284528640.

The previous prime is 1134241291. The next prime is 1134241321. The reversal of 1134241320 is 231424311.

It is not an unprimeable number, because it can be changed into a prime (1134241321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164992 + ... + 171728.

It is an arithmetic number, because the mean of its divisors is an integer number (28198530).

Almost surely, 21134241320 is an apocalyptic number.

1134241320 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 1134241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804705920).

1134241320 is an abundant number, since it is smaller than the sum of its proper divisors (2475170520).

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

1134241320 is a wasteful number, since it uses less digits than its factorization.

1134241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1134241320 is about 33678.4993727452. The cubic root of 1134241320 is about 1042.8819595378.

Adding to 1134241320 its reverse (231424311), we get a palindrome (1365665631).

The spelling of 1134241320 in words is "one billion, one hundred thirty-four million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 61 69 92 115 120 122 138 183 184 230 244 276 305 345 366 460 488 552 610 690 732 915 920 1220 1380 1403 1464 1830 2440 2760 2806 3660 4209 5612 6737 7015 7320 8418 11224 13474 14030 16836 20211 21045 26948 28060 33672 33685 40422 42090 53896 56120 67370 80844 84180 101055 134740 154951 161688 168360 202110 269480 309902 404220 410957 464853 619804 774755 808440 821914 929706 1232871 1239608 1549510 1643828 1859412 2054785 2324265 2465742 3099020 3287656 3718824 4109570 4648530 4931484 6164355 6198040 8219140 9297060 9452011 9862968 12328710 16438280 18594120 18904022 24657420 28356033 37808044 47260055 49314840 56712066 75616088 94520110 113424132 141780165 189040220 226848264 283560330 378080440 567120660 1134241320