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1021041140 = 225767199547
BaseRepresentation
bin111100110110111…
…101100111110100
32122011021021010112
4330312331213310
54042341304030
6245152242152
734205464220
oct7466754764
92564237115
101021041140
11484395359
12245b40358
131336c6472
1499867780
155e98aa95
hex3cdbd9f4

1021041140 has 96 divisors (see below), whose sum is σ = 2504140800. Its totient is φ = 342486144.

The previous prime is 1021041121. The next prime is 1021041181. The reversal of 1021041140 is 411401201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 1866347 + ... + 1866893.

It is an arithmetic number, because the mean of its divisors is an integer number (26084800).

Almost surely, 21021041140 is an apocalyptic number.

1021041140 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 1021041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252070400).

1021041140 is an abundant number, since it is smaller than the sum of its proper divisors (1483099660).

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

1021041140 is a wasteful number, since it uses less digits than its factorization.

1021041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1021041140 is about 31953.7343670501. The cubic root of 1021041140 is about 1006.9650882479.

Adding to 1021041140 its reverse (411401201), we get a palindrome (1432442341).

The spelling of 1021041140 in words is "one billion, twenty-one million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 199 268 335 398 469 547 670 796 938 995 1094 1340 1393 1876 1990 2188 2345 2735 2786 3829 3980 4690 5470 5572 6965 7658 9380 10940 13333 13930 15316 19145 26666 27860 36649 38290 53332 66665 73298 76580 93331 108853 133330 146596 183245 186662 217706 256543 266660 366490 373324 435412 466655 513086 544265 732980 761971 933310 1026172 1088530 1282715 1523942 1866620 2177060 2565430 3047884 3809855 5130860 7293151 7619710 14586302 15239420 29172604 36465755 51052057 72931510 102104114 145863020 204208228 255260285 510520570 1021041140