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1143072000 = 28365372
BaseRepresentation
bin100010000100001…
…1110010100000000
32221122220002000000
41010020132110000
54320111301000
6305232000000
740216644300
oct10410362400
92848802000
101143072000
11537263a04
1227a990000
13152a81885
14abb51600
156a543000
hex4421e500

1143072000 has 756 divisors, whose sum is σ = 4966386516. Its totient is φ = 261273600.

The previous prime is 1143071987. The next prime is 1143072011. The reversal of 1143072000 is 2703411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 1106493696 = 6048^2 + 33264^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×11430720002 = 2613227194368000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 163295997 + ... + 163296003.

Almost surely, 21143072000 is an apocalyptic number.

1143072000 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 1143072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483193258).

1143072000 is an abundant number, since it is smaller than the sum of its proper divisors (3823314516).

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

1143072000 is an frugal number, since it uses more digits than its factorization.

1143072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1143072000 is about 33809.3478197968. The cubic root of 1143072000 is about 1045.5814320415.

Adding to 1143072000 its reverse (2703411), we get a palindrome (1145775411).

The spelling of 1143072000 in words is "one billion, one hundred forty-three million, seventy-two thousand".