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1987020361 = 193137731249
BaseRepresentation
bin111011001101111…
…1000011001001001
312010110221002111201
41312123320121021
513032134122421
6525100424201
7100145252164
oct16633703111
95113832451
101987020361
1192a691897
12475548061
132588814c1
1414bc7aadb
15b969bb91
hex766f8649

1987020361 has 32 divisors (see below), whose sum is σ = 2249600000. Its totient is φ = 1746800640.

The previous prime is 1987020341. The next prime is 1987020383. The reversal of 1987020361 is 1630207891.

It is a 4-Lehmer number, since φ(1987020361) divides (1987020361-1)4.

It is a cyclic number.

It is not a de Polignac number, because 1987020361 - 225 = 1953465929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1987020361.

It is not an unprimeable number, because it can be changed into a prime (1987020311) by changing a digit.

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, 1590265 + ... + 1591513.

It is an arithmetic number, because the mean of its divisors is an integer number (70300000).

It is a Poulet number, since it divides 21987020360-1.

Almost surely, 21987020361 is an apocalyptic number.

It is an amenable number.

1987020361 is a deficient number, since it is larger than the sum of its proper divisors (262579639).

1987020361 is a wasteful number, since it uses less digits than its factorization.

1987020361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1987020361 is about 44576.0065618265. The cubic root of 1987020361 is about 1257.1895790284.

The spelling of 1987020361 in words is "one billion, nine hundred eighty-seven million, twenty thousand, three hundred sixty-one".

Divisors: 1 19 31 37 73 589 703 1147 1249 1387 2263 2701 21793 23731 38719 42997 46213 51319 83731 91177 735661 878047 1432603 1590889 1732363 2826487 3373549 27219457 53703253 64097431 104580019 1987020361