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1987023168 = 263213793359
BaseRepresentation
bin111011001101111…
…1001000101000000
312010110221020100200
41312123321011000
513032134220133
6525100445200
7100145263314
oct16633710500
95113836320
101987023168
1192a693a09
12475549800
13258882870
1414bc7bb44
15b969c913
hex766f9140

1987023168 has 168 divisors, whose sum is σ = 6213043200. Its totient is φ = 603472896.

The previous prime is 1987023133. The next prime is 1987023169. The reversal of 1987023168 is 8613207891.

It is a super-2 number, since 2×19870231682 = 7896522140337512448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987023169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589873 + ... + 593231.

It is an arithmetic number, because the mean of its divisors is an integer number (36982400).

Almost surely, 21987023168 is an apocalyptic number.

1987023168 is a gapful number since it is divisible by the number (18) 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 1987023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106521600).

1987023168 is an abundant number, since it is smaller than the sum of its proper divisors (4226020032).

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

1987023168 is a wasteful number, since it uses less digits than its factorization.

1987023168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1987023168 is about 44576.0380473635. The cubic root of 1987023168 is about 1257.1901710253.

The spelling of 1987023168 in words is "one billion, nine hundred eighty-seven million, twenty-three thousand, one hundred sixty-eight".