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1981006410 = 23566033547
BaseRepresentation
bin111011000010011…
…1100001001001010
312010001121112220210
41312010330021022
513024114201120
6524323501550
7100043163615
oct16604741112
95101545823
101981006410
11927254489
124735278b6
13257557056
1414b15317c
15b8daece0
hex7613c24a

1981006410 has 16 divisors (see below), whose sum is σ = 4754415456. Its totient is φ = 528268368.

The previous prime is 1981006403. The next prime is 1981006421. The reversal of 1981006410 is 146001891.

It is a super-2 number, since 2×19810064102 = 7848772792922176200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 66033547 = 1981006410 / (1 + 9 + 8 + 1 + 0 + 0 + 6 + 4 + 1 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33016744 + ... + 33016803.

It is an arithmetic number, because the mean of its divisors is an integer number (297150966).

Almost surely, 21981006410 is an apocalyptic number.

1981006410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1981006410 is an abundant number, since it is smaller than the sum of its proper divisors (2773409046).

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

1981006410 is a wasteful number, since it uses less digits than its factorization.

1981006410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66033557.

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1981006410 is about 44508.4981773144. The cubic root of 1981006410 is about 1255.9199531964.

The spelling of 1981006410 in words is "one billion, nine hundred eighty-one million, six thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 66033547 132067094 198100641 330167735 396201282 660335470 990503205 1981006410