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1145871480 = 2335136911063
BaseRepresentation
bin100010001001100…
…1001110001111000
32221212011022011110
41010103021301320
54321320341410
6305412000320
740252514115
oct10423116170
92855138143
101145871480
115388a6226
1227b9000a0
13153521b80
14ac27d90c
156a8e7720
hex444c9c78

1145871480 has 128 divisors (see below), whose sum is σ = 3710891520. Its totient is φ = 281387520.

The previous prime is 1145871479. The next prime is 1145871481. The reversal of 1145871480 is 841785411.

It is an interprime number because it is at equal distance from previous prime (1145871479) and next prime (1145871481).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145871481) 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, 1077429 + ... + 1078491.

It is an arithmetic number, because the mean of its divisors is an integer number (28991340).

Almost surely, 21145871480 is an apocalyptic number.

1145871480 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 1145871480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855445760).

1145871480 is an abundant number, since it is smaller than the sum of its proper divisors (2565020040).

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

1145871480 is a wasteful number, since it uses less digits than its factorization.

1145871480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 1145871480 is about 33850.7234782360. The cubic root of 1145871480 is about 1046.4343086157.

The spelling of 1145871480 in words is "one billion, one hundred forty-five million, eight hundred seventy-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 691 780 1063 1382 1560 2073 2126 2764 3189 3455 4146 4252 5315 5528 6378 6910 8292 8504 8983 10365 10630 12756 13819 13820 15945 16584 17966 20730 21260 25512 26949 27638 27640 31890 35932 41457 41460 42520 44915 53898 55276 63780 69095 71864 82914 82920 89830 107796 110552 127560 134745 138190 165828 179660 207285 215592 269490 276380 331656 359320 414570 538980 552760 734533 829140 1077960 1469066 1658280 2203599 2938132 3672665 4407198 5876264 7345330 8814396 9548929 11017995 14690660 17628792 19097858 22035990 28646787 29381320 38195716 44071980 47744645 57293574 76391432 88143960 95489290 114587148 143233935 190978580 229174296 286467870 381957160 572935740 1145871480