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1125143040 = 2935720929
BaseRepresentation
bin100001100010000…
…0101001000000000
32220102011012002110
41003010011020000
54301014034130
6303351415320
736611362260
oct10304051000
92812135073
101125143040
1152812868a
12274984540
1314c145018
14a96057a0
1568ba0ab0
hex43105200

1125143040 has 160 divisors (see below), whose sum is σ = 4110986880. Its totient is φ = 257163264.

The previous prime is 1125143029. The next prime is 1125143059. The reversal of 1125143040 is 403415211.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1125142998 and 1125143016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43296 + ... + 64224.

It is an arithmetic number, because the mean of its divisors is an integer number (25693668).

Almost surely, 21125143040 is an apocalyptic number.

1125143040 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 1125143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055493440).

1125143040 is an abundant number, since it is smaller than the sum of its proper divisors (2985843840).

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

1125143040 is an equidigital number, since it uses as much as digits as its factorization.

1125143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20962 (or 20946 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1125143040 is about 33543.1519091453. The cubic root of 1125143040 is about 1040.0859889453.

Adding to 1125143040 its reverse (403415211), we get a palindrome (1528558251).

The spelling of 1125143040 in words is "one billion, one hundred twenty-five million, one hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 20929 26880 41858 53760 62787 83716 104645 125574 146503 167432 209290 251148 293006 313935 334864 418580 439509 502296 586012 627870 669728 732515 837160 879018 1004592 1172024 1255740 1339456 1465030 1674320 1758036 2009184 2197545 2344048 2511480 2678912 2930060 3348640 3516072 4018368 4395090 4688096 5022960 5357824 5860120 6697280 7032144 8036736 8790180 9376192 10045920 10715648 11720240 13394560 14064288 16073472 17580360 18752384 20091840 23440480 26789120 28128576 32146944 35160720 37504768 40183680 46880960 53578240 56257152 70321440 75009536 80367360 93761920 112514304 140642880 160734720 187523840 225028608 281285760 375047680 562571520 1125143040