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1991741460 = 2235294127919
BaseRepresentation
bin111011010110111…
…1001000000010100
312010210210221122020
41312231321000110
513034341211320
6525345533140
7100233344262
oct16655710024
95123727566
101991741460
11932316925
124770441b0
13259845357
1414c749432
15b9cd0940
hex76b79014

1991741460 has 96 divisors (see below), whose sum is σ = 5910105600. Its totient is φ = 500290560.

The previous prime is 1991741429. The next prime is 1991741509. The reversal of 1991741460 is 641471991.

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, 57381 + ... + 85299.

It is an arithmetic number, because the mean of its divisors is an integer number (61563600).

Almost surely, 21991741460 is an apocalyptic number.

1991741460 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 1991741460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955052800).

1991741460 is an abundant number, since it is smaller than the sum of its proper divisors (3918364140).

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

1991741460 is a wasteful number, since it uses less digits than its factorization.

1991741460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28001 (or 27999 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1991741460 is about 44628.9307512515. The cubic root of 1991741460 is about 1258.1844727004.

The spelling of 1991741460 in words is "one billion, nine hundred ninety-one million, seven hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 41 58 60 82 87 116 123 145 164 174 205 246 290 348 410 435 492 580 615 820 870 1189 1230 1740 2378 2460 3567 4756 5945 7134 11890 14268 17835 23780 27919 35670 55838 71340 83757 111676 139595 167514 279190 335028 418785 558380 809651 837570 1144679 1619302 1675140 2289358 2428953 3238604 3434037 4048255 4578716 4857906 5723395 6868074 8096510 9715812 11446790 12144765 13736148 16193020 17170185 22893580 24289530 33195691 34340370 48579060 66391382 68680740 99587073 132782764 165978455 199174146 331956910 398348292 497935365 663913820 995870730 1991741460