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1141535320 = 235312114363
BaseRepresentation
bin100010000001010…
…0111001001011000
32221120000000001221
41010002213021120
54314213112240
6305135021424
740200614212
oct10402471130
92846000057
101141535320
11536404422
1227a36a874
131526642b3
14ab8715b2
156a33ca4a
hex440a7258

1141535320 has 64 divisors (see below), whose sum is σ = 2664483840. Its totient is φ = 439689600.

The previous prime is 1141535299. The next prime is 1141535321. The reversal of 1141535320 is 235351411.

It is a happy number.

1141535320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141535321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 259459 + ... + 263821.

It is an arithmetic number, because the mean of its divisors is an integer number (41632560).

Almost surely, 21141535320 is an apocalyptic number.

1141535320 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 1141535320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332241920).

1141535320 is an abundant number, since it is smaller than the sum of its proper divisors (1522948520).

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

1141535320 is a wasteful number, since it uses less digits than its factorization.

1141535320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1141535320 is about 33786.6145092994. The cubic root of 1141535320 is about 1045.1126821555.

Adding to 1141535320 its reverse (235351411), we get a palindrome (1376886731).

The spelling of 1141535320 in words is "one billion, one hundred forty-one million, five hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 211 248 310 422 620 844 1055 1240 1688 2110 4220 4363 6541 8440 8726 13082 17452 21815 26164 32705 34904 43630 52328 65410 87260 130820 135253 174520 261640 270506 541012 676265 920593 1082024 1352530 1841186 2705060 3682372 4602965 5410120 7364744 9205930 18411860 28538383 36823720 57076766 114153532 142691915 228307064 285383830 570767660 1141535320