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1023031140 = 2235471991823
BaseRepresentation
bin111100111110100…
…011011101100100
32122022000100220020
4330332203131210
54043343444030
6245303035140
734231423035
oct7476433544
92568010806
101023031140
1148552448a
1224673bab0
13133c42191
1499c24a8c
155ec30510
hex3cfa3764

1023031140 has 96 divisors (see below), whose sum is σ = 2941747200. Its totient is φ = 265516416.

The previous prime is 1023031109. The next prime is 1023031153. The reversal of 1023031140 is 411303201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560269 + ... + 562091.

It is an arithmetic number, because the mean of its divisors is an integer number (30643200).

Almost surely, 21023031140 is an apocalyptic number.

1023031140 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 1023031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470873600).

1023031140 is an abundant number, since it is smaller than the sum of its proper divisors (1918716060).

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

1023031140 is a wasteful number, since it uses less digits than its factorization.

1023031140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1023031140 is about 31984.8579799880. The cubic root of 1023031140 is about 1007.6188523388.

Adding to 1023031140 its reverse (411303201), we get a palindrome (1434334341).

The spelling of 1023031140 in words is "one billion, twenty-three million, thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 199 235 282 398 470 564 597 705 796 940 995 1194 1410 1823 1990 2388 2820 2985 3646 3980 5469 5970 7292 9115 9353 10938 11940 18230 18706 21876 27345 28059 36460 37412 46765 54690 56118 85681 93530 109380 112236 140295 171362 187060 257043 280590 342724 362777 428405 514086 561180 725554 856810 1028172 1088331 1285215 1451108 1713620 1813885 2176662 2570430 3627770 4353324 5140860 5441655 7255540 10883310 17050519 21766620 34101038 51151557 68202076 85252595 102303114 170505190 204606228 255757785 341010380 511515570 1023031140