Search a number
-
+
1987009968 = 243192178739
BaseRepresentation
bin111011001101111…
…0101110110110000
312010110220120020210
41312123311312300
513032133304333
6525100304120
7100145206656
oct16633656660
95113816223
101987009968
1192a684aa9
12475542040
13258879858
1414bc76dd6
15b9698a63
hex766f5db0

1987009968 has 40 divisors (see below), whose sum is σ = 5403275200. Its totient is φ = 627476544.

The previous prime is 1987009931. The next prime is 1987009991. The reversal of 1987009968 is 8699007891.

It is a super-2 number, since 2×19870099682 = 7896417225862722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1088458 + ... + 1090281.

It is an arithmetic number, because the mean of its divisors is an integer number (135081880).

Almost surely, 21987009968 is an apocalyptic number.

It is an amenable number.

1987009968 is an abundant number, since it is smaller than the sum of its proper divisors (3416265232).

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

1987009968 is a wasteful number, since it uses less digits than its factorization.

1987009968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178769 (or 2178763 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 57.

The square root of 1987009968 is about 44575.8899855067. The cubic root of 1987009968 is about 1257.1873871377.

The spelling of 1987009968 in words is "one billion, nine hundred eighty-seven million, nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2178739 4357478 6536217 8714956 13072434 17429912 26144868 34859824 41396041 52289736 82792082 104579472 124188123 165584164 248376246 331168328 496752492 662336656 993504984 1987009968