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1981413210 = 23579435301
BaseRepresentation
bin111011000011001…
…1111011101011010
312010002101012221110
41312012133131122
513024220210320
6524340321150
7100046506620
oct16606373532
95102335843
101981413210
11927502087
124736a31b6
1325766a26a
1414b21b510
15b8e405e0
hex7619f75a

1981413210 has 32 divisors (see below), whose sum is σ = 5434733952. Its totient is φ = 452894400.

The previous prime is 1981413199. The next prime is 1981413229. The reversal of 1981413210 is 123141891.

1981413210 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×19814132103 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 4717441 + ... + 4717860.

It is an arithmetic number, because the mean of its divisors is an integer number (169835436).

Almost surely, 21981413210 is an apocalyptic number.

1981413210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1981413210 is an abundant number, since it is smaller than the sum of its proper divisors (3453320742).

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

1981413210 is a wasteful number, since it uses less digits than its factorization.

1981413210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9435318.

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

The square root of 1981413210 is about 44513.0678565295. The cubic root of 1981413210 is about 1256.0059151039.

The spelling of 1981413210 in words is "one billion, nine hundred eighty-one million, four hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 9435301 18870602 28305903 47176505 56611806 66047107 94353010 132094214 141529515 198141321 283059030 330235535 396282642 660471070 990706605 1981413210