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1145201040 = 243259531669
BaseRepresentation
bin100010001000010…
…0110000110010000
32221210220020111100
41010100212012100
54321132413130
6305345344400
740244022354
oct10420460620
92853806440
101145201040
11538488545
1227b638100
13153348969
14ac147464
156a813c60
hex44426190

1145201040 has 120 divisors (see below), whose sum is σ = 3852309240. Its totient is φ = 304883712.

The previous prime is 1145201017. The next prime is 1145201081. The reversal of 1145201040 is 401025411.

It can be written as a sum of positive squares in 4 ways, for example, as 97772544 + 1047428496 = 9888^2 + 32364^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11452010402 = 2622970844034163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685326 + ... + 686994.

It is an arithmetic number, because the mean of its divisors is an integer number (32102577).

Almost surely, 21145201040 is an apocalyptic number.

1145201040 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 1145201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926154620).

1145201040 is an abundant number, since it is smaller than the sum of its proper divisors (2707108200).

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

1145201040 is a wasteful number, since it uses less digits than its factorization.

1145201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1145201040 is about 33840.8191390220. The cubic root of 1145201040 is about 1046.2301820906.

Adding to 1145201040 its reverse (401025411), we get a palindrome (1546226451).

The spelling of 1145201040 in words is "one billion, one hundred forty-five million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 953 1669 1906 2859 3338 3812 4765 5007 5718 6676 7624 8345 8577 9530 10014 11436 13352 14295 15021 15248 16690 17154 19060 20028 22872 25035 26704 28590 30042 33380 34308 38120 40056 42885 45744 50070 57180 60084 66760 68616 75105 76240 80112 85770 100140 114360 120168 133520 137232 150210 171540 200280 228720 240336 300420 343080 400560 600840 686160 1201680 1590557 3181114 4771671 6362228 7952785 9543342 12724456 14315013 15905570 19086684 23858355 25448912 28630026 31811140 38173368 47716710 57260052 63622280 71575065 76346736 95433420 114520104 127244560 143150130 190866840 229040208 286300260 381733680 572600520 1145201040