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1143120 = 243511433
BaseRepresentation
bin100010111000101010000
32011002001210
410113011100
5243034440
640300120
712500466
oct4270520
92132053
101143120
11710930
12471640
13310404
1421a836
15178a80
hex117150

1143120 has 80 divisors (see below), whose sum is σ = 3874752. Its totient is φ = 276480.

The previous prime is 1143113. The next prime is 1143143. The reversal of 1143120 is 213411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1143096 and 1143105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2424 + ... + 2856.

21143120 is an apocalyptic number.

1143120 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 1143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937376).

1143120 is an abundant number, since it is smaller than the sum of its proper divisors (2731632).

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

1143120 is a wasteful number, since it uses less digits than its factorization.

1143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1143120 is about 1069.1679007527. The cubic root of 1143120 is about 104.5596067225.

Adding to 1143120 its reverse (213411), we get a palindrome (1356531).

The spelling of 1143120 in words is "one million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 433 440 528 660 866 880 1299 1320 1732 2165 2598 2640 3464 4330 4763 5196 6495 6928 8660 9526 10392 12990 14289 17320 19052 20784 23815 25980 28578 34640 38104 47630 51960 57156 71445 76208 95260 103920 114312 142890 190520 228624 285780 381040 571560 1143120