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1054011140 = 2257132712137
BaseRepresentation
bin111110110100101…
…110111100000100
32201110022022110122
4332310232330010
54124311324030
6252331041112
735055642530
oct7664567404
92643268418
101054011140
114a0a64196
12254ba0198
1313a49b240
149ddaabc0
15627ee8e5
hex3ed2ef04

1054011140 has 96 divisors (see below), whose sum is σ = 2735545344. Its totient is φ = 332190720.

The previous prime is 1054011121. The next prime is 1054011151. The reversal of 1054011140 is 411104501.

It is a super-2 number, since 2×10540111402 = 2221878966488199200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492152 + ... + 494288.

It is an arithmetic number, because the mean of its divisors is an integer number (28495264).

Almost surely, 21054011140 is an apocalyptic number.

1054011140 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 1054011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367772672).

1054011140 is an abundant number, since it is smaller than the sum of its proper divisors (1681534204).

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

1054011140 is a wasteful number, since it uses less digits than its factorization.

1054011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1054011140 is about 32465.5377284899. The cubic root of 1054011140 is about 1017.6889687604.

Adding to 1054011140 its reverse (411104501), we get a palindrome (1465115641).

The spelling of 1054011140 in words is "one billion, fifty-four million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 271 364 455 542 910 1084 1355 1820 1897 2137 2710 3523 3794 4274 5420 7046 7588 8548 9485 10685 14092 14959 17615 18970 21370 24661 27781 29918 35230 37940 42740 49322 55562 59836 70460 74795 98644 111124 123305 138905 149590 194467 246610 277810 299180 388934 493220 555620 579127 777868 972335 1158254 1944670 2316508 2895635 3889340 4053889 5791270 7528651 8107778 11582540 15057302 16215556 20269445 30114604 37643255 40538890 52700557 75286510 81077780 105401114 150573020 210802228 263502785 527005570 1054011140