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1987998040 = 235756312611
BaseRepresentation
bin111011001111110…
…0111000101011000
312010112202202122001
41312133213011120
513032411414130
6525133410344
7100156463440
oct16637470530
95115682561
101987998040
1193019a396
124759399b4
13258b34502
1414c053120
15b97e16ca
hex767e7158

1987998040 has 64 divisors (see below), whose sum is σ = 5121480960. Its totient is φ = 680334720.

The previous prime is 1987998013. The next prime is 1987998109. The reversal of 1987998040 is 408997891.

1987998040 is a nontrivial binomial coefficient, being equal to C(63056, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151335 + ... + 163945.

It is an arithmetic number, because the mean of its divisors is an integer number (80023140).

Almost surely, 21987998040 is an apocalyptic number.

1987998040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1987998040 is the 63055-th triangular number and also the 31528-th hexagonal number.

1987998040 is the 21019-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1987998040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560740480).

1987998040 is an abundant number, since it is smaller than the sum of its proper divisors (3133482920).

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

1987998040 is a wasteful number, since it uses less digits than its factorization.

1987998040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13192 (or 13188 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 55.

The square root of 1987998040 is about 44586.9716397066. The cubic root of 1987998040 is about 1257.3957380155.

The spelling of 1987998040 in words is "one billion, nine hundred eighty-seven million, nine hundred ninety-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 563 1126 2252 2815 3941 4504 5630 7882 11260 12611 15764 19705 22520 25222 31528 39410 50444 63055 78820 88277 100888 126110 157640 176554 252220 353108 441385 504440 706216 882770 1765540 3531080 7099993 14199986 28399972 35499965 49699951 56799944 70999930 99399902 141999860 198799804 248499755 283999720 397599608 496999510 993999020 1987998040