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1868379840 = 263254115823
BaseRepresentation
bin110111101011101…
…0011011011000000
311211012200112022100
41233113103123000
512311301123330
6505221510400
764204652355
oct15727233300
94735615270
101868379840
11879719478
12441872400
1323a112302
1413a1d662c
15ae064060
hex6f5d36c0

1868379840 has 168 divisors, whose sum is σ = 6583606848. Its totient is φ = 486051840.

The previous prime is 1868379829. The next prime is 1868379841. The reversal of 1868379840 is 489738681.

It is not an unprimeable number, because it can be changed into a prime (1868379841) 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 23 ways as a sum of consecutive naturals, for example, 110169 + ... + 125991.

It is an arithmetic number, because the mean of its divisors is an integer number (39188136).

Almost surely, 21868379840 is an apocalyptic number.

1868379840 is a gapful number since it is divisible by the number (10) 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 1868379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291803424).

1868379840 is an abundant number, since it is smaller than the sum of its proper divisors (4715227008).

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

1868379840 is a wasteful number, since it uses less digits than its factorization.

1868379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15887 (or 15874 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1868379840 is about 43224.7595713383. The cubic root of 1868379840 is about 1231.6530619204.

The spelling of 1868379840 in words is "one billion, eight hundred sixty-eight million, three hundred seventy-nine thousand, eight hundred forty".