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1994257760 = 255111766653
BaseRepresentation
bin111011011011101…
…1111010101100000
312010222112210100112
41312313133111200
513041012222020
6525515510452
7100263624365
oct16667372540
95128483315
101994257760
11933785410
12477a58428
1325a2167a1
1414cc0246c
15ba12b2c5
hex76ddf560

1994257760 has 96 divisors (see below), whose sum is σ = 5442165792. Its totient is φ = 682516480.

The previous prime is 1994257723. The next prime is 1994257763. The reversal of 1994257760 is 677524991.

It is a junction number, because it is equal to n+sod(n) for n = 1994257699 and 1994257708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1994257763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3407 + ... + 63246.

It is an arithmetic number, because the mean of its divisors is an integer number (56689227).

Almost surely, 21994257760 is an apocalyptic number.

1994257760 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 1994257760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721082896).

1994257760 is an abundant number, since it is smaller than the sum of its proper divisors (3447908032).

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

1994257760 is a wasteful number, since it uses less digits than its factorization.

1994257760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66696 (or 66688 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 50.

The square root of 1994257760 is about 44657.1132071924. The cubic root of 1994257760 is about 1258.7140992152.

The spelling of 1994257760 in words is "one billion, nine hundred ninety-four million, two hundred fifty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 66653 133306 266612 333265 533224 666530 733183 1066448 1133101 1333060 1466366 2132896 2266202 2666120 2932732 3665915 4532404 5332240 5665505 5865464 7331830 9064808 10664480 11331010 11730928 12464111 14663660 18129616 22662020 23461856 24928222 29327320 36259232 45324040 49856444 58654640 62320555 90648080 99712888 117309280 124641110 181296160 199425776 249282220 398851552 498564440 997128880 1994257760