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1143059040 = 2534589991
BaseRepresentation
bin100010000100001…
…1011001001100000
32221122212102020000
41010020123021200
54320110342130
6305231420000
740216561434
oct10410331140
92848772200
101143059040
115372551a2
1227a984600
13152a789c6
14abb4a9c4
156a53e260
hex4421b260

1143059040 has 240 divisors, whose sum is σ = 4083488640. Its totient is φ = 301086720.

The previous prime is 1143059023. The next prime is 1143059051. The reversal of 1143059040 is 409503411.

1143059040 is a `hidden beast` number, since 1 + 1 + 4 + 30 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1143058995 and 1143059013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1152945 + ... + 1153935.

It is an arithmetic number, because the mean of its divisors is an integer number (17014536).

Almost surely, 21143059040 is an apocalyptic number.

1143059040 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 1143059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041744320).

1143059040 is an abundant number, since it is smaller than the sum of its proper divisors (2940429600).

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

1143059040 is an equidigital number, since it uses as much as digits as its factorization.

1143059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1143059040 is about 33809.1561562841. The cubic root of 1143059040 is about 1045.5774804716.

The spelling of 1143059040 in words is "one billion, one hundred forty-three million, fifty-nine thousand, forty".